TW201830298A - Delivery planning system, delivery planning method and program - Google Patents
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- TW201830298A TW201830298A TW106137595A TW106137595A TW201830298A TW 201830298 A TW201830298 A TW 201830298A TW 106137595 A TW106137595 A TW 106137595A TW 106137595 A TW106137595 A TW 106137595A TW 201830298 A TW201830298 A TW 201830298A
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- 238000012384 transportation and delivery Methods 0.000 title claims abstract description 870
- 238000000034 method Methods 0.000 title claims description 104
- 238000009826 distribution Methods 0.000 claims description 561
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- 238000002716 delivery method Methods 0.000 description 11
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06Q—INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
- G06Q10/00—Administration; Management
- G06Q10/04—Forecasting or optimisation specially adapted for administrative or management purposes, e.g. linear programming or "cutting stock problem"
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06Q—INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
- G06Q10/00—Administration; Management
- G06Q10/08—Logistics, e.g. warehousing, loading or distribution; Inventory or stock management
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Abstract
Description
[0001] 本發明是有關配送計畫系統、配送計畫方法及程式。 本案是根據2016年10月31日在日本申請的特願2016-213838號主張優先權,將其內容援用於此。[0001] The present invention relates to a delivery planning system, a delivery planning method, and a program.案 This case claims priority based on Japanese Patent Application No. 2016-213838 filed in Japan on October 31, 2016, and incorporates its contents here.
[0002] 朝汽車共享(car sharing)的需求變高。所謂汽車共享是例如在會員之間等共同利用車輛,按照搭乘時間等來負擔費用,在自己喜好時利用車輛的系統。作為汽車共享的一個形態,存在有被稱為下車離開型(僅一次使用(oneway)型)的利用形態。在下車離開型的汽車共享,使用者是可利用共同的車輛至目的地附近的預定的停車場,在停車場就這樣下車離開該汽車。在如此形態的汽車共享,須將使用者利用完的車輛配送至有新的利用需求的其他的停車場。 [0003] 為了進行對於顧客購入後的製品的售後服務,服務人員會巡視客戶,所謂的售後服務巡迴的情況,有關服務人員及服務的提供所必要的零件等的移動也發生同樣的事情。例如,分別在複數的客戶設置有成為售後服務對象的製品,服務人員會在某場所籌措使用於該製品的售後服務的零件而搬運給客戶,或在1次的巡迴進行各式各樣種類的售後服務的服務人員會從在服務的提供需要同零件的某客戶往其他的客戶移動,再令使用後的零件回到原來等的場面,須選擇有效率的巡迴方法。 [0004] 對於如此的問題,例如在專利文獻1中揭示有關於作成輸送計畫的技術,該輸送計畫是從複數的配送據點,利用複數的輸送手段,在指定的日期與時間,將貨物輸送至複數的配送去處。若利用此技術,則在汽車共享的情況,可作成將使用者所利用的車輛裝載於卡車等的輸送手段來輸送至各停車場的輸送計畫。在售後服務巡迴也可作成將用在服務的零件配送給客戶的配送計畫。 [0005] 但,以汽車共享配送車輛的情況,配送人員搭乘於配送對象的車輛,駕駛至目的的停車場之車輛的配送方法也存在。將如此搭乘於配送物本身來配送的方法稱為搭乘輸送。在包含搭乘輸送的配送中,進行最適的配送計畫的技術是未被提供。 在售後服務巡迴中,有關服務人員持零件來移動的情況,或從某客戶往其他的客戶配送零件的情況,或服務人員持多餘的零件前往其次的客戶的情況等,與搭乘輸送的情況同樣,進行服務人員的最適的巡迴計畫的技術是未被提供。 一般不連續值的組合最適化問題,大多是使用被稱為線形緩和的手法,亦即一旦將問題置換成連續值問題來解,由取得的緩和解來求取最適解的手法,但如配送問題般一旦複雜的限制多,則就這樣計算時間會花費過多,因此需要設法以實用性的時間求解。 [先前技術文獻] [專利文獻] [0006] [專利文獻1] 日本特開2013-136421號公報[0002] The demand for car sharing is increasing. The so-called car sharing is a system in which a vehicle is shared between members, etc., the cost is paid according to the time of boarding, etc., and the vehicle is used when they like it. As one form of car sharing, there is a use form called a drop-off type (oneway type). In the car-sharing type of get-off, the user can use a common vehicle to a predetermined parking lot near the destination, and just get off the car in the parking lot to leave the car. In this form of car sharing, the vehicles used by the users must be distributed to other parking lots that have new demand for use. [0003] In order to carry out after-sales service for products purchased by customers, service personnel will visit customers. In the case of so-called after-sales service tours, the same thing will happen to the movement of service personnel and parts necessary for service provision. . For example, a plurality of customers are provided with products targeted for after-sales service, and the service staff will collect and use the after-sales service parts of the product at a certain place and carry them to the customer, or perform a variety of various activities on a single tour After-sales service staff of different types will move from a customer who needs the same parts to other customers in the provision of services, and then return the used parts to the original scene. It is necessary to choose an efficient patrol method. [0004] In response to such a problem, for example, Patent Document 1 discloses a technique for creating a transportation plan. The transportation plan uses a plurality of transportation means from a plurality of distribution bases to deliver the goods at a specified date and time. Ship to multiple delivery locations. If this technology is used, in the case of car sharing, a transportation plan for loading a vehicle used by a user on a transportation means such as a truck to each parking lot can be created. In the after-sales service tour, it is also possible to create a delivery plan for delivering parts used in service to customers. [0005] However, in the case of a car sharing delivery vehicle, a delivery method exists in which a delivery person rides on a delivery target vehicle and drives a vehicle to a destination parking lot. The method of picking up and delivering the goods on the delivery itself is called boarding transportation. In the case of delivery including boarding transportation, the technology to perform an optimal delivery plan is not provided. In the after-sales service tour, the situation where service personnel move parts, or when a part is delivered from a customer to other customers, or when the service staff carries excess parts to the next customer, etc. Similarly, the technology for performing the optimal tour plan for service personnel is not provided. Generally, the optimization problems of the combination of discontinuous values are mostly solved by a method called linear relaxation, that is, once the problem is replaced with a continuous value problem, the optimal solution method is used to obtain the optimal solution, but such as distribution As problematic, once there are many complicated restrictions, the calculation time will be too much, so we need to find a solution in practical time. [Prior Art Document] [Patent Document] [0006] [Patent Document 1] Japanese Patent Laid-Open No. 2013-136421
(發明所欲解決的課題) [0007] 本案的申請人是已進行有關配送計畫系統的申請案(特願2016-051550),該配送計畫系統是可解決在包含上述的搭乘輸送的配送中進行配送計畫的課題。若利用此配送計畫系統,則可以實用性的時間求取對於包含搭乘輸送的配送問題之最適的配送計畫。 有關此配送計畫系統,即使因配送對象的車輛或配送去處的增加而問題的規模變大的情況,也可以實用性的時間求取最適的配送計畫,期望計算時間的更進一步的縮短化。 [0008] 於是,此發明是以提供一種能夠解決上述的課題之配送計畫系統、配送計畫方法及程式為目的。 (用以解決課題的手段) [0009] 若根據本發明的第1形態,則配送計畫系統係具備: 分割部,其係在將配送物配送至有需要的配送據點之配送問題中,把初期條件所示的配送問題分割成規模更小的配送問題;及 配送計畫產生部,其係針對前述分割部所分割後的配送問題產生配送計畫。 藉由將大規模的配送問題分割成規模小的配送問題,以小的配送問題的單位來算出配送計畫,可以實用性的時間產生配送計畫。 [0010] 本發明的第2形態的前述分割部,係使有需要前述配送物的配送據點群所含的一個的需要點,及成為前述配送物的供給源頭的配送據點群所含的一個的供給點,以從該一個的需要點往該一個的供給點的移動時間會成為最小的方式附上對應,產生附上對應的前述需要點及前述供給點的組合的集合,將前述初期條件所示的配送問題分割成從前述產生的集合內所含的需要點群往供給點群的配送問題。 根據在初期條件所含的每個配送據點的需要及供給的資訊,將配送區域分割成近距離存在的每個配送據點的集合的配送區域單位,以分割後的配送區域單位來算出配送計畫,藉此可以實用性的時間產生配送計畫。 [0011] 本發明的第3形態的前述分割部,係計算產生的集合內所含的複數的供給點與複數的需要點的對應關係之中,從一個的供給點往一個的需要點的移動時間成為預定的值以下之從供給點往需要點的配送路徑, 前述配送計畫產生部,係利用從前述產生的集合內所含的供給點群往需要點群的配送路徑之中移動時間成為前述預定的臨界值以下的配送路徑,來產生對於前述規模小的配送問題之配送計畫。 由於利用移動時間成為臨界值以下的配送據點間的配送路徑的資訊來產生配送計畫,因此可減少配送計畫的產生所必要的計算量。 [0012] 本發明的第4形態的前述分割部,係取得複數個表示從出發據點出發來進行一部分的配送據點間的配送而回到前述出發據點為止的預先被設定的配送路徑及以該配送路徑配達時的成本之單位路徑資訊,算出前述複數的單位路徑資訊的組合之中,該組合所含的前述配送據點的數量為預定的數量以內,且前述成本的合計成為最小的組合,產生該組合所含的出發據點與配送據點的集合,將前述初期條件所示的配送問題分割成從前述產生的出發據點與配送據點的集合內所含的需要點群往供給點群的配送問題。 以某出發據點為基準,算出符合預定的數量以內的複數的配送據點的需要且配送成本形成最小的配送路徑的組合,以該等複數的配送據點與出發據點的集合作為1個的配送區域。將以在初期條件被賦予的全部的配送據點作為對象的配送區域分割成如此產生的配送區域,以配送區域單位來計算配送計畫,藉此可以實用性的時間產生配送計畫。 [0013] 本發明的第5形態的前述分割部是藉由列產生法來算出前述單位路徑資訊的組合。 藉由使用列產生法,可高速地產生配送區域。 [0014] 本發明的第6形態的前述分割部,係藉由將前述配送物的配送限制時間分割成複數的時間,把前述初期條件所示的配送問題分割成每個前述分割後的時間的配送問題, 前述配送計畫產生部,係由前述分割後的各時間的最初的時刻的前述配送物的配送狀況來產生在該分割後的各時間內前述配送物盡可能更多被配送至有需要的據點之類的配送計畫。 [0015] 本發明的第7形態的前述配送計畫產生部,有關前述分割部所分割而發生的最後的時間的配送問題,係以至前述最後的時間終了為止,前述配送物會被配送至在前述初期條件所示的有需要的配送據點的全部之方式產生配送計畫。 若根據第6、7形態,則藉由分割在初期條件被賦予的配送限制時間,針對分割後的時間單位的配送問題算出配送計畫,可以實用性的時間產生配送計畫。 [0016] 本發明的第8形態的前述分割部,係將前述初期條件所示的配送問題分割成:以比在前述初期條件所含的配送限制時間只更短預定的時間的第一配送限制時間作為新的配送限制時間之配送問題, 前述配送計畫產生部,係產生:在前述第一配送限制時間內前述配送物盡可能更多被配送至有需要的據點之類的配送計畫。 [0017] 本發明的第9形態的前述分割部,係將接續於前述第一配送限制時間的預定長度的時間設定為第二配送限制時間, 前述配送計畫產生部,係產生:在該第二配送限制時間內前述配送物盡可能更多被配送至有需要的據點之類的配送計畫。 [0018] 本發明的第10形態的前述配送計畫產生部,係產生:以實行前述產生的配送計畫時的完了時間點作為開始時刻,以前述第一配送限制時間的開始時刻作為基準,以在前述初期條件所含的配送限制時間經過的時刻作為終了時刻之最後的時間內,針對前述配送計畫的實行的結果,配送未完了的配送物完成配送之配送計畫。 若根據第8~10形態,則將比在初期條件被賦予的配送限制時間短的時間設定成配送限制時間,一邊延長配送限制時間,一邊產生配送計畫。藉由將初期條件所示的配送問題分割成按設定或延長後的每個配送限制時間的規模小的配送問題,可以實用性的時間產生配送計畫。 [0019] 在本發明的第11形態中,前述配送物盡可能更多被配送至有需要的據點之類的配送計畫的產生時,前述配送計畫產生部,係以實行前述配送計畫的結果,前述配送計畫的實行所必要的配送人員與配送手段不會殘留於前述配送據點為條件產生配送計畫。 可產生不只是盡可能配送多的配送物,在分割後的時間之後的時間不使用的多餘的配送人員及配送手段也不會留在配送據點之類的配送計畫。 [0020] 本發明的第12形態的前述配送計畫產生部,係解開根據以點資訊及分支資訊所構成的時空網路模型的整數計畫問題,至少產生1個涉及藉由前述分割部的分割後的配送問題的前述配送之分支資訊的集合, 該點資訊係將表示配送前述配送物的配送主體與移動前述配送物或前述配送主體的配送手段的初期位置的出發據點及前述配送據點與以配送開始時為基準的各時刻設成組, 該分支資訊係表示前述點資訊之中前述配送物的配送的2個點資訊之間的涉及前述配送的前述配送物及前述配送主體及前述配送手段的流量。 藉由以時空網路模型來使配送問題模型化,可針對包含搭乘輸送的配送問題產生配送計畫。 [0021] 若根據本發明的第13形態,則前述配送計畫產生部,係於前述時空網路模型中,針對一個的前述配送據點,產生:將該配送據點的入口與時刻設成組之涉及入口的點資訊,及將該配送據點的出口與時刻設成組之涉及出口的點資訊,及對於涉及該配送據點的配送物各1個來將時刻設成組之涉及配送物的存放處的點資訊, 將涉及前述入口的點資訊與涉及前述配送物的點資訊之間、涉及前述出口的點資訊與涉及前述配送物的點資訊之間的前述配送主體及前述配送物的流量的值設定成0或1。 藉由將配送據點內分成入口、出口、配送物各一個的存放處來處理,可將該等的場所各個的狀況以0及1來表示,因此可將配送據點內設為0-1整數計畫問題處理,可使計算處理高速化。 [0022] 若根據本發明的第14形態,則為配送計畫系統,係在將配送物配送至有需要的配送據點之配送問題中,把初期條件所示的配送問題分割成規模更小的配送問題,針對前述分割後的配送問題產生配送計畫之配送計畫方法。 [0023] 若根據本發明的第15形態,則程式係用以使配送計畫系統的電腦具有作為下列手段的機能, 在將配送物配送至有需要的配送據點之配送問題中,把初期條件所示的配送問題分割成規模更小的配送問題之手段, 針對前述分割後的配送問題產生配送計畫之手段。 [發明的效果] [0024] 若根據上述的配送計畫系統,配送計畫方法及程式,則可擬定一種以實用性的時間使相對於大規模的配送問題的成本或移動時間最小化之配送計畫。(Problems to be Solved by the Invention) 000 [0007] The applicant of this case has applied for a distribution planning system (Japanese Patent Application No. 2016-051550), which can solve the problem of distribution including the boarding and transportation described above. Issues in the delivery plan. By using this delivery planning system, it is possible to obtain an optimal delivery plan for a delivery problem including boarding transportation in a practical time. Regarding this distribution planning system, even if the scale of the problem becomes larger due to an increase in the number of vehicles or distribution destinations, the optimal distribution plan can be obtained in practical time, and it is expected that the calculation time will be further shortened. . [0008] Accordingly, the present invention aims to provide a distribution planning system, a distribution planning method, and a program that can solve the above-mentioned problems. (Means to Solve the Problem) [0009] According to the first aspect of the present invention, the distribution planning system includes: (i) a division unit that solves the problem of distribution of distribution items to a distribution point where necessary; The distribution problem shown in the initial conditions is divided into smaller-scale distribution problems; and the distribution plan generation unit generates a distribution plan for the distribution problem divided by the aforementioned division unit.分割 By dividing a large-scale distribution problem into small-scale distribution problems, and calculating a distribution plan in units of small distribution problems, a distribution plan can be generated in a practical time. [0010] The segmentation unit according to the second aspect of the present invention is a demand point included in a distribution base group that requires the distribution item and one included in a distribution base group that becomes a supply source of the distribution item. Supply points are attached in such a way that the moving time from the one need point to the one supply point is minimized, and a set of the corresponding combination of the aforementioned need point and the aforementioned supply point is generated, and the aforementioned initial conditions are set. The illustrated distribution problem is divided into a distribution problem from the demand point group contained in the aforementioned generated set to the supply point group. Based on the needs and supply information of each distribution base included in the initial conditions, the distribution area is divided into distribution area units of a collection of each distribution base that exists at a close distance, and the distribution plan is calculated based on the divided distribution area units. , So that you can generate delivery plans in a practical time. [0011] The above-mentioned division unit of the third aspect of the present invention calculates a movement from one supply point to one required point among the correspondence between the complex supply point and the complex demand point included in the generated set. The distribution route from the supply point to the required point when the time becomes less than a predetermined value. The distribution plan generation unit uses the moving point from the supply point group contained in the generated set to the distribution path of the required point group to become The delivery route below the predetermined critical value generates a delivery plan for the aforementioned small-scale delivery problem. Since the distribution plan is generated by using the information of the distribution path between the distribution bases whose movement time becomes below the critical value, the calculation amount necessary for generating the distribution plan can be reduced. [0012] The division unit according to a fourth aspect of the present invention obtains a plurality of preset delivery routes that indicate that a part of the delivery sites are to be delivered from the starting point and returned to the starting point, and the delivery is performed using the delivery. The unit route information of the cost at the time of route distribution is calculated from the combination of the plurality of unit route information. The number of the distribution bases contained in the combination is within a predetermined number, and the total of the aforementioned costs becomes the smallest combination. The combination of the starting point and the distribution point included is combined, and the distribution problem shown in the initial condition is divided into a distribution problem from the required point group contained in the generated set of the starting point and the distribution point to the supply point group. Based on a certain starting point, calculate the combination that meets the needs of a plurality of distribution points within a predetermined number and the distribution cost forms the smallest distribution path, and use the combination of these plural distribution points and the starting point as one distribution area. The distribution area that targets all the distribution bases given in the initial conditions is divided into the distribution areas generated in this way, and the distribution plan is calculated by the distribution area unit, so that the distribution plan can be generated in a practical time. [0013] In the fifth aspect of the present invention, the division unit calculates a combination of the unit path information by a row generation method.列 By using the column generation method, the delivery area can be generated at high speed. [0014] The division unit according to a sixth aspect of the present invention divides the distribution restriction time of the distribution item into a plurality of times, and divides the distribution problem indicated by the initial condition into each of the divided times. The distribution problem The distribution plan generation unit is based on the distribution status of the distribution items at the first time of each time after the division, to generate as many distribution items as possible to each of the division time. Delivery plans such as required locations. [0015] According to a seventh aspect of the present invention, the delivery plan generation unit is concerned with the delivery problem at the last time that is caused by the division by the division unit, and the delivery item is delivered to the location at the end of the last time. A delivery plan is generated in all the ways of the necessary delivery bases shown in the aforementioned initial conditions. According to the sixth and seventh forms, by dividing the delivery restriction time given in the initial conditions, the delivery plan is calculated for the delivery problem of the divided time unit, and the delivery plan can be generated at a practical time. [0016] The division unit according to an eighth aspect of the present invention divides the distribution problem indicated by the initial condition into a first distribution restriction that is shorter than a predetermined time included in the initial condition by a predetermined time. Time is a distribution problem of a new distribution time limit. The aforementioned distribution plan generation unit generates distribution plans such as the above-mentioned distribution items are delivered to as many locations as needed within the first distribution limitation time. [0017] In the ninth aspect of the present invention, the division unit sets a predetermined length of time following the first distribution restriction time as the second distribution restriction time. The distribution plan generation unit generates: 2. The delivery items mentioned above shall be delivered to as many distribution sites as needed within the time limit for delivery. [0018] The delivery plan generating unit of the tenth aspect of the present invention generates the start time at the end time when the delivery plan generated above is executed, and uses the start time of the first delivery restriction time as a reference, Taking the time at which the delivery restriction time included in the aforementioned initial conditions elapses as the last time of the end time, the delivery plan for the delivery of unfinished delivery items is completed as a result of the execution of the delivery plan. According to the eighth to tenth forms, the delivery restriction time is set to a time shorter than the delivery restriction time given in the initial conditions, and a delivery plan is generated while the delivery restriction time is extended. By dividing the distribution problem shown in the initial conditions into small-scale distribution problems for each set delivery limit time after extension or extension, a delivery plan can be generated in a practical time. [0019] In the eleventh aspect of the present invention, the distribution plan generation unit is configured to execute the distribution plan when a distribution plan such as a distribution point where necessary is generated as much as possible. As a result, the distribution personnel and distribution means necessary for the implementation of the aforementioned distribution plan will not remain in the aforementioned distribution base on the condition that a distribution plan is generated. It is possible to create a distribution plan such as not only delivering as many items as possible, but also redundant delivery personnel and delivery methods that are not used after the time after division. [0020] The above-mentioned distribution plan generating unit of the twelfth aspect of the present invention solves the integer planning problem based on the spatio-temporal network model composed of point information and branch information, and generates at least one involving the division by the aforementioned division unit. A collection of branch information of the aforementioned distribution problem of the divided distribution problem, the point information is a starting point and a distribution base that indicate an initial position of a distribution subject that distributes the distribution item and a distribution means that moves the distribution item or the distribution subject It is grouped with each time based on the start of delivery. 分支 The branch information refers to the above-mentioned delivery object, the above-mentioned delivery subject, and the above-mentioned delivery information between the two point information indicating the delivery of the above-mentioned delivery information among the above-mentioned point information. The flow of distribution means.模型 By modeling the distribution problem with a spatio-temporal network model, a distribution plan can be generated for a distribution problem that includes boarding and transportation. [0021] According to the thirteenth aspect of the present invention, the distribution plan generating unit is based on the spatio-temporal network model and generates, for one of the distribution bases, the entry and time of the distribution base into a group. Point information related to the entrance, point information related to the export where the outlet and time of the distribution base are grouped, and a place where the time related to the distribution is set for each of the distribution items related to the distribution base. The value of the flow of the distribution subject and the distribution of the point information between the point information related to the aforementioned entrance and the point information related to the aforementioned distribution, and between the point information related to the aforementioned exit and the point information related to the aforementioned distribution. Set to 0 or 1. By dividing the distribution base into a storage place for each of the entrance, exit, and distribution items, the status of each of these places can be represented by 0 and 1. Therefore, the distribution base can be set to a 0-1 integer. Drawing problem processing can speed up calculation processing. [0022] According to the fourteenth aspect of the present invention, it is a distribution planning system, and the distribution problem shown in the initial conditions is divided into smaller scales in the distribution problem of distributing the distribution items to the required distribution bases. For the distribution problem, a distribution plan method for generating a distribution plan for the aforementioned divided distribution problem. [0023] According to the fifteenth aspect of the present invention, the program is used to make the computer of the distribution planning system function as the following means. (1) In the distribution problem of distributing the distribution items to a distribution point where necessary, set the initial conditions. The illustrated distribution problem is divided into smaller distribution problems, and 手段 means for generating a distribution plan for the aforementioned divided distribution problems. [Effects of the Invention] [0024] According to the above-mentioned distribution planning system, distribution planning method and program, a distribution capable of minimizing the cost or moving time relative to a large-scale distribution problem in a practical time can be formulated. plan.
[0026] <第一實施形態> 以下,參照圖1~圖13來說明本發明的一實施形態的配送計畫系統。 圖1是表示本發明的第一實施形態的配送計畫系統的一例的機能方塊圖。在本實施形態中,配送計畫系統是例如藉由1台的PC或伺服器裝置等的電腦裝置來構成。電腦裝置是包含CPU(Central Processing Unit)等的運算部及ROM(Read Only Memory)、RAM(Random Access Memory)、HDD(Hard Disk Drive)等的記憶部以及網路介面等其他的硬體而構成。 [0027] 圖1的配送計畫裝置10是配送計畫系統的一例。配送計畫裝置10是對於包含搭乘輸送的配送計畫,算出使成本形成最小的配送手段、配送路徑等的裝置。在本實施形態中,舉在下車離開型的汽車共享中將使用者共同利用的車輛配送往使用者開始利用的場所的場面,擬定實現該配送的最適的配送計畫之方法為例。配送配送物的情況,例如,被要求選擇使成本形成最小的配送手段、配送路徑。有關使成本形成最小的配送計畫的擬定是至今有各式各樣的方法被提供。但,在汽車共享的車輛的配送,例如,有與快遞等配送貨物的情況不同的點。那是在配送車輛時,人可搭乘於車輛移動的點。例如,在據點A、據點B、據點C、據點D、據點E的各個的據點,有車輛多餘的狀態或不足的狀態。如此的狀態中,為了從車輛多餘的據點往不足的據點移動車輛,因應使用者的需求,例如可思考以下般的方法。(1)一人的配送人員以可裝載車輛的卡車巡迴各據點,將多餘的車輛搭載於卡車,配送至有不足的據點。(2)複數的配送人員搭乘於配送車,移動於各據點。搭乘於配送車的配送人員的一部分是一旦到達車輛多餘的據點,則換乘至剩餘的車輛,將該車輛駕駛配送至車輛不足的據點(搭乘輸送)。如此的情況,不容易得知到底以哪個配送手段來進行配送為佳,以怎樣的路徑來進行配送,可使成本形成最小。本實施形態的配送計畫裝置10是對於可搭乘輸送時的配送計畫,導入根據數學見解的數理模型或限制,藉此提供一種高速且有效率地產生例如使成本形成最小的配送計畫之方法。本實施形態的配送計畫裝置10是在產生將配送物配送至配送據點的配送計畫時,根據作為該配送的初期條件被賦予之每個配送據點的配送物的需要數量(不足的數量)及供給數量(多餘的數量)來將初期條件所示的配送問題的全體分割成部分性的規模小的配送問題。藉此,即使配送的車輛或據點的數量為大規模,也可以實用性的時間(例如10分鐘)擬定配送計畫。 [0028] 如圖1所示,配送計畫裝置10是具備:初期條件設定部11、配送計畫產生部12、輸出入部13、第一區域分割部14及記憶部15。 初期條件設定部11是以配送主體(例如配送人員)可搭乘移動的配送物(例如使用者所利用的車輛)、配送主體、可移動配送物或配送主體的配送手段(例如卡車等的配送車)的任一個所停留的場所的每個配送據點的配送物的需要數量及供給數量,及表示配送主體與配送手段的初期位置的一個或複數的出發據點(例如提供汽車共享的服務的企業的運用據點)的資訊,及出發據點的可利用的配送手段和配送主體的資訊,以及配送期限的資訊等的資訊,作為在產生配送計畫上的初期條件設定。有關該等的參數是在之後詳細說明。 配送計畫產生部12是計算點資訊及分支資訊,至少產生1個將在配送期限內符合需要數量的配送物配送至設定有該需要數量的配送據點的情況的分支資訊的集合,該點資訊是將配送據點及出發據點與以配送開始時為基準的時刻設為一組,該分支資訊是點資訊之中涉及配送的2個點資訊之間的表示涉及配送的配送物及配送主體以及配送手段的流量。將出發據點及配送據點總稱為據點。 輸出入部13是受理使用者的輸入操作。輸出入部13是將根據配送計畫產生部12所產生的分支資訊的集合之配送計畫的資訊等輸出至顯示器等。 第一區域分割部14是使有需要配送物的配送據點群所含的一個的需要點,及成為配送物的供給源頭的配送據點群所含的一個的供給點,以從該一個的需要點往該一個的供給點的移動時間會成為最小的方式附上對應,產生附上對應的需要點及供給點的組合的集合。亦即,第一區域分割部14是將朝根據初期條件的有需要配送物的全部的配送據點群之配送問題的全體分割成產生的集合所示的配送區域單位的配送問題(從集合內所含的需要點群往供給點群的配送問題)。然後,配送計畫產生部12是針對分割後的規模小的配送問題的各者產生分支資訊的集合。 記憶部15是記憶配送計畫的產生所必要的諸資訊。 初期條件設定部11、配送計畫產生部12、第一區域分割部14是例如藉由配送計畫裝置10所具備的CPU(Central Processing Unit;中央處理裝置)從記憶部15讀出程式實行而實現。 [0029] 配送計畫裝置10是對於給予的配送問題,利用時空網路模型來產生配送計畫。首先,說明有關時空網路模型及利用時空網路模型的配送計畫的產生方法,然後,說明有關問題形成大規模時的配送問題的分割方法。 [0030] 圖2是說明本發明的第一實施形態的配送計畫的一例圖。 利用圖2來說明有關下車離開型的汽車共享的配送物(車輛)的配送例。在圖2中所謂中心是配送物的配送人員存在,開始配送物的配送之據點(出發據點)。停車場A、停車場B、停車場C是成為配送物的配送源頭或配送去處的據點(配送據點)。配送物的使用者是以預定的預約系統等來進行配送物的預約。使用者是從預約系統輸入配送物的利用台數、利用開始場所(例如停車場B)等的資訊。當使用者所欲從停車場B利用配送物時,若配送物已經存在於停車場B,則利用者可利用該配送物。但,當配送物不存在於停車場B時,配送人員需要從其他的停車場將配送物移動至停車場B。在下車離開型的汽車共享中,使用者是例如若從停車場B往停車場A利用配送物,則將配送物往停車場A就這樣下車離開。於是,可產生多數的使用者利用,例如,配送物遍及於停車場A之類的狀況。中心的配送人員是將遍及的配送物配送至有使用者的需求的停車場A~停車場C。圖2的例子的情況,在停車場A是配送物多餘2台,在停車場B、停車場C是配送物各不足1台。中心的配送人員會將在停車場A多餘的2台的配送物分別各1台配送至停車場B、停車場C,使用者可依照希望利用配送物。圖2是表示符合此條件的配送的實現例。 [0031] 首先,從中心,配送人員2名(k、l)搭乘於1台的配送車1(配送手段)來朝停車場A(1)移動。在停車場A,配送人員k會搭乘於多餘的2台的其中1台的配送物來朝停車場B移動。其他的配送人員l也就這樣搭乘於配送車1來朝停車場B移動(2)。在停車場B,配送人員k會將配送物停止於停車場B,搭乘於配送人員l所駕駛的配送車1。配送人員k、l是從停車場B朝停車場A返回(3)。一旦回到停車場A,則配送人員k是搭乘於多餘的1台的配送物來朝停車場C移動。配送人員l是原封不動搭乘於配送車1來朝停車場C移動(4)。在停車場C,配送人員k會將配送物停止於停車場C,搭乘於配送人員l所駕駛的配送車1。配送人員k、l是從停車場B朝中心返回(5)。若以如此的程序來進行配送,則可符合使用者的要求。在本實施形態中,將如此的狀況的配送物的配送方法定式化為時空網路模型的最小成本流程問題,求取可實行的配送方法之中成本形成最小的方法。 [0032] <第1時空網路模型> 圖3是說明本發明的第一實施形態的配送計畫的第1時空網路模型的圖。 圖3是將在圖2說明過的配送的實施例予以模型化成時空網路的圖。 圖3的縱軸是表示時間經過,橫軸是表示各據點的場所。圖中,時空上的點是表示各時刻的各據點。圖中,連結2個點的箭號是表示配送物、配送車(配送手段)、配送人員(人)的時空上的移動。各箭號是表示移動源頭據點與移動去處據點,移動所要的時間。實線箭號是表示據點間的移動,二重線箭號是表示停留在同一據點的配送物、配送車、配送人員(移動時間)。附在各箭號來表示的行列的各要素是表示藉由箭號所示的配送來移動的配送物、配送車、配送人員的數量,由上依序表示移動的配送物的數量、移動的配送車的數量、移動的配送人員的人數。例如,實線箭號31的情況,從中心往停車場A,配送物為0台,配送車為1台,配送人員為2名,顯示從時刻t=0到t=1之間移動的情形。二重線箭號32是在停車場A,配送物為2台,配送車為0台,配送人員為0名,顯示從時刻t=0到t=1之間停留的情形。實線箭號33的情況,從停車場A往停車場B,配送物為1台,配送車為1台,配送人員為2名,顯示從時刻t=1到t=2之間移動的情形。二重線箭號34是在停車場A,配送物為1台,配送車為0台,配送人員為0名,顯示從時刻t=1到t=2之間停留的情形。停車場A的配送物從2台變化成1台,是因為配送人員搭乘於2台之中的配送物1台,往停車場B移動所致。有關其他的箭號也同樣。將一個的箭號稱為分支。圖3的分支的集合是對應於在圖2說明的配送計畫者。將配送物配送時,有時在哪個停車場等候配送人員或配達手段等與時間有關的動作會伴隨。在有關配送計畫的既存的數理模型中,大多是以據點為點,以據點間的配送車的移動作為分支來模型化。在本實施形態中,以2次元的時空網路來模型化。藉此,不僅據點間的空間性的移動,還可顯示介入時間的車輛或人的移動。 [0033] <根據第1時空網路模型的配送計畫的產生方法> 在本實施形態中,求取在圖2、圖3說明那樣的限制時間內符合需要之類的配送計畫配送物中使花在配送的成本最小化的配送計畫。此問題是可作為以下所示的整數計畫問題定式化。 [目的函數] 使花費在配送的配送物、配送手段、配送人員的成本的合計最小化 [限制條件] (1)各據點的流量是符合流量保存規則。 (2)存在於停車場的車輛台數是不超過停車場的停止空間。 (3)在配送手段是出發據點以外一定有配送人員乘坐。 (4)在移動時是在配送物或配送手段一定有配送人員乘坐,移動時的人數是可搭乘於配送物及配送手段的人數的合計以下。 [0034] 為了解開上述的整數計畫問題,配送計畫產生部12是根據初期條件設定部11所受理的初期條件的資訊,產生在圖3所例示般的2次元的時空資訊,產生涉及配送的點之間的分支,以在配送期限內符合各據點的需要數量之方式,產生複數個可將配送物配送至設定有該需要數量的據點之類的分支資訊的集合。然後,配送計畫產生部12從複數的分支資訊的集合之中選擇使成本形成最小的分支資訊的集合。 [0035] 到此為止被提供而來的配送計畫的數理模型或程式是被限於將配送物裝載於卡車或鐵路等的輸送手段來配送的情況。如車輛的配送般,對於包含搭乘輸送的情況,即使是既存技術也有藉由追加限制條件來解開的可能性,但可想像不僅限制條件變複雜,而且手段或路徑的組合數會指數函數性地增大,因此非實用性。若根據本實施形態,則在產生可搭乘輸送的配送物的配送計畫時,藉由作為時空網路模型的最小成本流程問題定式化,可求取可實行的配送方法之中成本最小的配送計畫。 [0036] <第2時空網路模型> 在第2時空網路模型中,相對於第1時空網路模型,更追加配送據點內的圖表(點資訊及表示配送人員、配送物、配送手段的移動之分支資訊)。藉此,可將配送據點內設為0-1整數計畫問題處理。0-1整數計畫問題是由整數計畫問題來限制變數的幅度,可構成繃緊的緩和問題。藉此,容易放入有效不等式(切割(cut)),謀求計算處理的高速化(計算時間的縮短化)。 [0037] 配送計畫產生部12利用第2時空網路模型來產生配送計畫時,除了在第1時空網路模型的情況說明的時空資訊之外,還針對一個的配送據點,產生:將該配送據點的入口與時刻設成組的點資訊、將該配送據點的出口與時刻設成組的點資訊、對於涉及該配送據點的配送物各1個來將時刻設成組的點資訊。配送計畫產生部12是將涉及入口的點資訊與涉及配送物的點資訊之間的配送人員及配送物的流量的值設定成0或1。配送計畫產生部12是將涉及出口的點資訊與涉及配送物的點資訊之間的配送人員及配送物的流量的值設定成0或1。 [0038] 在此,說明有關配送計畫擬定者朝配送計畫裝置10輸入的參數。在輸入參數是有以下的項目。 亦即,出發據點的集合(Depot)、配送據點的集合(W)、配送期限(dl)、1區間的時間(h)、配送物的種類的集合(P)、配送手段的種類的集合(D)、配送手段的裝載量(cp)、配送物的成本cx(日元/分鐘)、配送手段的成本cy(日元/分鐘)、配送人員的成本cz(日元/分鐘)、移動時間矩陣M(例如,藉由配送手段d之從配送據點w1往w2的移動時間是設為m[d][w1][w2])、各據點的供給數量supply(例如,配送據點w的d的供給數量是設為supply[w、d])、各配送據點的需要數量demand(例如,配送據點w的d的需要數量是設為demand[w、d])。初期條件設定部11是取得該等的參數,作為配送計畫的初期條件設定。 [0039] 作為輸出項目,配送計畫產生部12是將流動於被最適化的配送計畫的時空網路之配送物的流量x((v,s),(w,t))、配送手段的流量y((v,s),(w,t))、配送人員的流量z((v,s),(w,t))輸出至輸出入部13。以((v,s),(w,t))來表示在時刻s從配送據點v出發,在時刻t到達至配送據點w。在輸出項目是其他有花費在配送的成本等。 [0040] 圖4是說明本發明的第一實施形態的配送計畫的第2時空網路模型的第一圖。 利用圖4來說明第2時空網路。以下,將場所集合設為N,將時間集合設為T,時空網路的圖表G=(V、E)。V是點集合,E是分支集合。點集合V是如以下般定義。 V = {(w,d,p,t)|w∈W,d∈{0}∪P,p∈Swd ,t∈T}在此,Swd ={0,1}(d=0),Swd ={0,1,...,m}(d≠0)。d=0是表示配送據點的出入口的道路。d=0時,Swd 是取0或1的值,Swd =0是表示入口,Swd =1是表示出口。d≠0時,d是表示配送物的種類,Swd 是取0~m的值。m是配送據點w之對於配送物d的供給數量-1或需要數量-1。例如,在配送據點w,配送物a多餘3個時(供給數量=3),Swd 是取0、1、2的值。例如,在配送據點w,配送物a不足4個時(需要數量=4),Swd 是取0、1、2、3的值。針對某配送據點w,也將d=0的點稱為道路,將d≠0的點稱為停靠點(port)。停靠點是表示放置1個配送物d的場所。 [0041] 圖4是Depot={0}、W={1,2}、P={a}、T={0,1,2}、S1a ={0}(在配送據點1對於配送物a的供給數量1個)、S2a ={0}(在配送據點2對於配送物a的需要數量1個)的情況的時空網路。其次,利用圖5來說明有關分支集合E。 [0042] 圖5是說明本發明的第一實施形態的配送計畫的第2時空網路模型的第二圖。 以下,將分支集合E設為E=Ex ∪Ey ∪Ez 。Ex 是配送物的分支集合,Ey 是配送手段的分支集合,Ez 是配送人員的分支集合。 配送物的分支集合Ex 是如以下般定義。Ewwx 是表示配送物的據點間的移動之分支的集合、Ewx 是配送物停留在配送據點的道路之分支(等候等)的集合,Ewpx 是表示配送物從道路往停靠點移動之分支的集合,Epwx 是表示配送物從停靠點往道路移動之分支的集合,Epx 是配送物停留在停靠點之分支的集合。 [0043] 配送手段的分支集合Ey 是如以下般定義。Ewwy 是表示配送手段的據點間的移動之分支的集合,Ewy 是配送手段停留在配送據點的道路之分支(等候等)的集合,Ewpy 是表示配送手段從道路往停靠點移動之分支的集合,Epwy 是表示配送手段從停靠點往道路移動之分支的集合。 [0044] 配送人員的分支集合Ez 是如以下般定義。Ewwz 是表示配送人員的據點間的移動之分支的集合,Ewz 是配送人員停留在配送據點的道路之分支(等候等)的集合,Ewpz 是表示配送人員從道路往停靠點移動之分支的集合,Epwz 是表示配送人員從停靠點往道路移動之分支的集合。 [0045] 在圖5顯示以上述定義後的分支集合的表示例。斜方向的實線箭號是表示對應於Ewwx 、Ewwy 、Ewwz 的各集合之分支。縱方向的二重線箭號是表示對應於Ewx 、Ewy 、Ewz 的各集合之分支。橫方向的二點鎖線箭號是表示對應於Ewpx 、Ewpy 、Ewpz 的各集合之分支。斜方向的一點鎖線箭號是表示對應於Epwx 、Epwy 、Epwz 的各集合之分支。縱方向的虛線箭號是表示對應於Epx 的集合之分支。 在第2時空網路模型中,將配送據點內設為0-1整數問題處理,但橫方向的二點鎖線箭號、斜方向的一點鎖線箭號、縱方向的虛線箭號的分支為與此0-1整數問題化關聯,在本實施形態被追加的分支。 [0046] 圖6是說明本發明的第一實施形態的配送計畫的第2時空網路模型的第三圖。 利用圖6來說明有關對於各分支設定的流量向量。如圖6(a)所示般在各分支e是設定有流量向量。 [0047][0048] 此流量向量之中,x[d、e](d∈P,e∈Ex )是表示配送物的流量,y[d、e](d∈D,e∈Ey )是表示配送手段的流量,z[e](e∈Ez )是表示配送人員的流量。舉幾個例子。P={a},D={車}的情況,流量向量是成為以下般。 [0049][0050] 圖6(b)所示的分支e是表示a為1個,配送車(車)為1台,配送人員(人)為2人的移動。P={a,b},D={車,摩托車}的情況,流量向量是成為以下般。 [0051][0052] 圖6(c)所示的分支e是表示a為1個,b為1個,配送車(車)為1台,摩托車為1台,配送人員(人)為2人的移動。 [0053] 圖7是說明本發明的第一實施形態的配送計畫的第2時空網路模型的第四圖。 圖7是流量向量為以下般, [0054][0055] 使1個配送物a從配送據點1往配送據點2移動時的時空網路模型。首先,配送人員(人)2人及配送車(車)1台會從Depot出口往配送據點1移動(實線箭號91)。在配送據點1,配送人員1人會朝配送物a的存放處(停靠點0)移動(2點鎖線箭號92)。在配送物a的停靠點0,配送物a會存在至時刻0~1(虛線箭號93)。接著,配送人員1人與配送物a1個會朝配送據點1的出口移動(1點鎖線箭號94)。其次,配送物a1個、配送車1台、配送人員2人會從配送據點1的出口往配送據點2的入口移動(實線箭號95)。其次,配送人員1人與配送物a1個會朝配送據點2的停靠點0移動(2點鎖線箭號96)。接著,配送人員1人會從停靠點0往配送據點2的出口移動(1點鎖線箭號97)。其次,配送人員2人與配送車1台會從配送據點2的出口往Depot入口移動(實線箭號98)。在配送據點2的停靠點0,配送物a會存在至時刻2~3(虛線箭號100)。如圖7所示般,本實施形態是在配送據點1及配送據點2,按每個配送物a1個分配點,且在配送據點的入口、出口各個分配點。為此,配送據點1內及配送據點2內的流量向量的各要素的值是成為0或1。藉此,將配送據點內設為0-1整數計畫問題處理,可使計算時間縮短化。 [0056] 圖8是說明本發明的第一實施形態的配送計畫的第2時空網路模型的第五圖。 圖8是利用第2時空網路模型來表示在圖3所例示的第1時空網路模型者。在圖8中,以更細分化的(1,0,0,0)、(1,a,0,0)、(1,a,1,0)的各列的點集合來表示在圖3中以停車場A的列所示的點集合。有關停車場B、停車場C也同樣。中心、停車場A~停車場C的各者是被賦予對應於出入口的點集合。 [0057] <根據第2時空網路模型的配送計畫的產生方法> 以上,說明了將配送據點內設為0-1整數計畫問題,作為對於第2時空網路模型的處理的高速化之對策。其次,說明有關配送計畫的產生方法。作為配送手段,針對以配送車及腳踏車配送的情況(亦包含只以配送車配送的情況)、以卡車(裝載配送物)配送的情況的各者進行說明。配送手段的腳踏車是配送人員會乘坐於腳踏車來朝有供給的配送據點移動,在那裡將腳踏車裝載於剩餘的車輛,配送人員駕駛剩餘車輛來朝有需要的配送據點移動這樣的用法。 [0058] 首先,說明有關目的函數。在圖3中,以使成本最小化的情況為例進行說明。在此,使花在配送的移動時間最小化的情況也包含說明。 (以配送車及腳踏車配送的情況) 1.使花在配送的成本最小化的情況的目的函數是對配送物、配送車、配送人員各者的每時間的成本乘上移動時間而加算者。 2.使花在配送的移動時間最小化的情況的目的函數是加算配送物、配送車、配送人員各者的移動時間者。 [0059] (以卡車配送的情況) 1.使花在配送的成本最小化的情況的目的函數是對配送卡車、配送人員各者的每時間的成本乘上移動時間而加算者。 2.使花在配送的移動時間最小化的情況的目的函數是加算配送卡車、配送人員各者的移動時間者。 [0060] 其次,說明有關限制條件。 (以配送車及腳踏車配送的情況與以卡車配送的情況共通) 1.流量保存規則 (1)有關配送物的流量 在配送開始時間點,從存在供給的停靠點出去的流量是成為1。在配送完了時間點,進入存在需要的停靠點的流量會成為1。在其他的點,出去的流量與進入的流量是相等。 [0061] (2)有關配送車的流量 在配送開始時間點,從存在配送車的道路出去的流量是成為配送車的存在台數分。在配送完了時間點,進入存在配送車的道路的流量是成移配送車的存在台數分。在其他的點,出去的流量與進入的流量是相等。 (3)有關配送人員的流量 在配送開始時間點,從存在配送人員的道路出去的流量是成為配送人員的人數分。在配送完了時間點,進入存在配送人員的道路的流量是成為配送人員的人數分。在其他的點,出去的流量與進入的流量是相等。 2.容量限制 配送據點內的配送物、人的移動量為1以下。 [0062] 3.配送據點內的限制1(Ewp 是表示配送物、配送手段、人從道路往停靠點移動之分支的集合) (1)e的去處為d的供給點時 配送物是不會從道路進入停靠點。 (2)e的去處為d的需要點時 配送物與配送人員的流量為取同值(0或1)。 (3)哪個情況皆是腳踏車的台數為配送人員的人數以下。 [0063] 4.配送據點內的限制2(Epw 是表示配送物、配送手段、人從停靠點往道路移動之分支的集合) (1)e的出發點為d的供給點時 配送物與配送人員的流量為取同值(0或1)。 (2)e的出發點為d的需要點時 配送物是不會從停靠點出至道路。 (3)哪個情況皆是腳踏車的台數為配送人員的人數以下。 [0064] 以下,分成以配送車及腳踏車配送的情況及以卡車配送的情況來進行說明。 (以配送車及腳踏車配送的情況) 5.對於從據點往別的據點移動時的分支之限制(Eww 是表示配送物、配送手段、人的據點間的移動之分支的集合) (1)e為腳踏車的分支且車的分支時 有分別在腳踏車及車乘坐配送人員而移動的情況,及將腳踏車裝載於車來移動的情況,限制在車中一定有配送人員乘坐,配送人員的人數為可搭乘人數以下,無法駕駛的腳踏車的台數為可裝載於車的台數以下。 (2)e為腳踏車的分支但不為車的分支時(以腳踏車移動) 腳踏車的台數與人數一致。 [0065] 6.對於在配送據點之中停留的分支之限制 限制在車中一定有人乘坐。 [0066] (以卡車配送的情況) 5.對於從配送據點往別的配送據點移動時的分支之限制 限制在卡車中一定有配送人員乘坐,配送人員的人數為可搭乘人數以下,配送物的總體積為卡車的裝載量以下。 [0067] 6.對於在配送據點之中停留的分支之限制 限制配送物的總體積為卡車的裝載量以下。 [0068] 而且,為了使計算時間縮短化,可適用被稱為切割(cut)的限制式。在整數計畫問題中,將可符合可實行領域的點之不等式稱為有效不等式。整數計畫問題,由於難解,因此首先作為去除整數條件的線形緩和問題處理也多。將追加削減線形緩和問題的解空間之有效不等式的情形稱為切割的追加。藉由切割的追加,線形緩和解接近整數最適解,因此在計算的高速化有強力的效果。藉由切割的追加,可實行領域不被切斷,因此解的最適性被保證。例如,追加規定配送車是1台以上到來之類的切割。於是,可從計算對象排除配送車為3/4台到來非現實性的情況,可提升計算速度。有關切割的具體例是被記載於本案的申請人之日本特願2016-051550的說明書。追加切割的情況,有關在不追加切割的情況下需要數小時以上的整數計畫問題,可以數分鐘解開。 [0069] 配送計畫產生部12是產生以道路(d=0)及停止停靠點(d≠0)來分割配送據點之中的時空網路模型,更利用上述限制條件、被追加的切割來計算分支資訊。若根據本實施形態,則由於可將配送據點內設為0-1整數計畫問題模型化,因此除利用第1時空網路來產生配送計畫時的效果之外,還可取得配送計畫的計算所要的時間可削減的效果。而且,可藉由切割的追加來大幅度縮短計算時間。藉此,例如,比較在各種的初期條件下被產生的配送計畫,可進行更低成本的配送計畫的選擇等,計畫擬定者的便利性會提升。 [0070] 其次,說明有關利用第2時空網路來產生配送計畫的事例。 圖9是表示本發明的第一實施形態的配送問題的一例圖。 圖10是表示對於配送問題來產生的配送計畫的一例圖。 圖9的點c0(depot)是出發據點。其他的點w1~w9是配送據點。例如,在點w7,「d1:2」是表示配送物d1多餘2個的狀態,在點w5,「d2:-1」是表示配送物d2不足1個的狀態。在4點w2,「d1:-1、d2:1」是表示配送物d1不足1個,配送物d2多餘1個的狀態。由圖9所示的配送物d1~d3遍在的狀態,思考配送配送物d1~d3的問題,而使配送物d1~d3在各配送據點不足的狀態能夠消失。以下,分別針對以車及腳踏車配送的情況,以卡車配送的情況,舉配送計畫裝置10所產生的配送計畫的例子。 [0071] 1.以車及腳踏車配送的情況 (1)輸入 ・在depot是配送車1台,腳踏車3台,配送人員3人 ・配送期限:120分鐘 ・配送車的成本:1.5日元/分鐘 ・配送人員的成本:17日元/分鐘 ・d1、d2、d3的成本:1.5日元/分鐘 ・配送車的可搭乘人數:4人、腳踏車的可裝載台數:1台 ・d1的可搭乘人數:1人、腳踏車的可裝載台數:0台 ・d2的可搭乘人數:4人、腳踏車的可裝載台數:1台 ・d3的可搭乘人數:2人、腳踏車的可裝載台數:0台 (2)目的函數 成本最小化 [0072] 若對於此目的函數追加上述的限制條件、切割,而使計算於配送計畫裝置10,則可取得其次般的輸出結果。 (3)輸出 ・以配送車1台、腳踏車1台、配送人員2人,如圖10所示般分成以S1~S7所示的配送路徑及以T1~T9所示的配送路徑的2路徑來配送。 ・配送成本:2768日元 ・必要的時間:60分鐘 如此,可取得在以初期條件設定的配送手段、配送人員、配送期限的條件內使成本最小化的配送計畫。 [0073] 藉由配送計畫裝置10之利用第1時空網路或第2時空網路的配送計畫的產生是在可搭乘輸送的配送物的配送、籌措、售後服務巡迴也可適用。例如,在售後服務中,籌措售後服務所必要的零件等之後須向客戶或巡迴複數的客戶來提供服務。 可將配送物設為使用於售後服務的零件等,將配送主體設為服務人員,將配送手段設為服務人員使用於移動的車輛或零件等的運搬所必要的配送車等,將據點設為客戶或成為售後服務的對象的製品的設置場所,適用上述的數理模型來解開整數計畫問題,服務人員在複數的客戶進行售後服務時,可算出使該巡迴成本或巡迴時間形成最小的巡迴方法(巡迴手段、巡迴路徑)。圖2的情況,例如,只要以停車場A~停車場C(配送據點)作為提供售後服務的客戶,以車輛(配送物)作為零件,以轎車(配送手段)作為服務人員使用於移動的手段、以配送者(配送主體)作為服務人員即可。售後服務的情況,不單只是巡迴客戶,在客戶進行檢查、修理等的作業。只要藉由使用時空網路模型的配送計畫裝置10、10A、10B,便可將服務人員的巡迴行動考慮放進該等作業時間來模型化。 [0074] 上述的例子以外,對於不進行搭乘輸送的配送物的配送也可適用。例如,有被稱為集貨配送(Milk-Run)的集貨方法存在。所謂集貨配送是某製品的製造廠從複數的供應商取得使用於該製品的原材料或零件時,不是使搬入至各供應商,而是製造廠巡迴各供應商來收購原材料等的籌措方法。若藉由集貨配送來進行集貨,則例如藉由以1台的卡車來集貨,與使交納至各供應商的情況作比較,可謀求成本削減、工廠周邊的堵車減輕、環境的負荷減輕。藉由本實施形態的配送計畫裝置10來算出集貨配送的最適的巡迴方法時,例如,若以製品製造廠的訂貨方的工廠等作為有需要汽車共享的配送據點,以原材料或零件的交納業者的工廠等作為車輛多餘的配送據點,則藉由設定與上述「以卡車配送的情況」同樣的目的函數、限制條件等,可算出配送計畫。有關以上述的卡車配送的情況的「配送物的總體積為卡車的裝載量以下」的限制條件是變更成「(原材料的重量×原材料的量+零件的重量×零件數)為卡車的裝載量以下」的限制條件。某供應商的集貨時間範圍被指定時,可藉由在限制條件追加該被指定的集貨時間範圍的資訊來對應。例如,必須使往某供應商的到達時刻形成(從集貨的開始)30分鐘後以後時,只要追加其次般的限制條件,便可產生遵守該供應商的時間範圍限制的集貨計畫。 往某供應商的到達時刻≧30分鐘後 [0075] 到此為止,說明了本實施形態的配送計畫裝置10產生配送計畫的處理。若根據上述的方法,則配送計畫裝置10是可求取配送問題的嚴格的最適解。然而,只靠上述的方法,一旦問題的規模變大(例如,配送據點為20處,配送的車輛為20台),則會有難以實用性的時間求解的情況。於是,第一區域分割部14是按每個配送區域分割配送據點,將被賦予的配送問題分割成每個分割後的區域的配送問題。其次,說明有關藉由第一區域分割部14的區域分割處理(第一區域分割處理)。 [0076] 圖11是說明本發明的第一實施形態的第一區域分割處理的第一圖。 圖11的左圖是表示在成為配送計畫的對象的地域所存在的配送據點及出發據點的位置。圖中,圓點是表示配送據點(w1~w17),四角點是表示出發據點(c1~c3)。在配送據點w1~w17是有配送物的需要或剩餘,在出發據點c1~c3是有配送車或配送人員存在。第一區域分割部14是產生使鄰近存在之有需要的配送據點(需要點)與有剩餘的配送據點(供給點)對應的組,更產生集合1個或複數個需要點與供給點的組而分割的一個區域。將藉由第一區域分割部14之區域的產生稱為第一區域分割處理。 [0077] 圖11的右圖是表示第一區域分割部14進行第一區域分割處理的結果。配送據點w1~w5是屬於區域j1,配送據點w6~w9是屬於區域j2,配送據點w10~w17是屬於區域j3。配送計畫產生部12是分別針對分割後的區域j1~區域j3來以上述的方法進行配送計畫的產生。在區域j1~區域j3是分別只含未滿10個的配送據點,為比較的小規模。因此,配送計畫產生部12是可利用上述的時空網路模型來以實用性的時間產生配送計畫。 [0078] 其次,利用圖11來說明第一區域分割處理的概要。首先,第一區域分割部14是將配送據點w1~w17分成需要點、供給點、不為需要點也不為供給點的配送據點。其次,第一區域分割部14是將需要點與供給點附上1對1對應。此時,第一區域分割部14是將需要點與供給點的距離(移動時間)近者彼此間附上對應。例如,在圖11的配送據點w4,配送物d1為多餘1,在配送據點w5,配送物d1為不足1。在配送據點w6,配送物d1為多餘1,在配送據點w7,配送物d1為不足1。在配送據點w8,配送物d2為多餘1,在配送據點w9,配送物d2為不足1。此情況,第一區域分割部14是將需要與供給為一致,距離近的配送據點彼此間附上對應。亦即,第一區域分割部14是將配送據點w4與配送據點w5附上對應(作為組1),將配送據點w6與配送據點w7附上對應(作為組2),將配送據點w8與配送據點w9附上對應(作為組3)。有關其他的需要點與供給點也同樣進行附上對應。 [0079] 其次,第一區域分割部14是針對附上對應的需要點與供給點的組,將距離近的組彼此間集合複數來產生1個的區域。此時,若距離近的組無他,則亦可以1個的組作為1個的區域。例如,上面舉的例子時,第一區域分割部14是計算組1的配送據點w4與組2的配送據點w6的距離。然後,若計算後的距離比預定的臨界值小,則將組1及組2分類成同區域,若計算後的距離比預定的臨界值大,則組1及組2是作為別的區域判定。有關組之間的距離的計算,例如,組1與組2的距離的情況,亦可計算配送據點w4與配送據點w7的距離,或分別計算配送據點w4~配送據點w6間、配送據點w4~配送據點w7間、配送據點w5~配送據點w6間、配送據點w5~配送據點w7間的距離,以計算後的距離的平均作為組1與組2的距離。或,亦可以計算後的距離之中最大(或最小)距離作為組1與組2的距離。圖11的例子的情況,第一區域分割部14是例如將組2與組3分類成同區域j2,將組1分類成別的區域j1。第一區域分割部14針對其他的配送據點也進行同樣的處理,按每個區域分類配送據點w1~w17,產生圖11所示的區域j1~區域j3。 [0080] 若藉由第一區域分割處理來產生區域,則配送計畫產生部12是亦可針對區域j1~區域j3的各者,對於以各區域內的各配送據點的配送物的供給數量、需要數量等作為初期條件的配送問題,利用第1時空網路模型或第2時空網路模型來進行配送計畫的產生,但即使不全由初期的狀態來進行利用時空網路模型的計算,亦可以第一區域分割處理時的需要點與供給點的附上對應作為分支資訊利用。亦即,配送計畫產生部12是產生從附上對應的需要點往供給點的分支資訊,藉由使該等接合,可產生符合全部的需要之配送計畫。但,僅連結距離最近的配送據點間的配送路徑,太過於被限定,由移動於複數的據點間的配送計畫全體來看時,有可能遠離被最適化的狀態。於是,第一區域分割部14是進行追加有可能在配送計畫產生部12進行分支資訊的產生時被選擇的配送路徑之處理。然後,配送計畫產生部12是從追加了有可能在連結符合需要及供給的最近的配送據點間的配送路徑所被追加選擇的配送路徑的全部成為候補的配送路徑之中選擇適當的配送路徑來產生分支資訊,產生每個區域的配送計畫。 在圖11中,以需要點、供給點作為配送據點進行說明,但亦可分別為有需要的停靠點、有供給的停靠點。 [0081] 其次,詳細說明有關第一區域分割處理。 圖12是說明本發明的第一實施形態的第一區域分割處理的第二圖。 以下說明本實施形態的第一區域分割處理的處理方式(algorithm)。第一區域分割部14是以以下的程序進行各處理。 1.首先,將各配送據點的各停靠點(第1時空網路模型的情況是配送據點)分成供給點及需要點,產生供給點的集合A、需要點的集合B。設為V1 =A∪B。 2.其次,在V1 追加新的點s、t,設為V=V1 ∪{s,t}。 3.從A到B,製作配送路徑e11 ~e19 ,對於各配送路徑定義根據以該配送路徑所示的路徑來配送時的移動時間之成本函數c(e)。 4.從s到A,從B到t,製作配送路徑,將該等的成本設為0。將從s到A,從B到t的配送路徑的集合設為E2 ,將E1 與E2 的和集合設為E。 5.以到此為止的處理來構成2部圖表G=(V,E)。 6.算出G的最小分量最大匹配,亦即成本成為最小之從s往t的路徑。更具體而言,從s往t的路徑之中,從集合A所含的各供給點出來的配送路徑數量為1,進入集合B所含的各需要點的配送路徑的數量為1的條件之下,算出連結s與集合A的各供給點和集合B的各需要點與t之配送路徑的成本的合計成為最小的情況的配送路徑(主問題)。依據4.,從s往集合A的各供給點的成本,從集合B的各需要點往t的成本為0,因此可求取成本成為最小的情況的供給點a1~供給點a3與需要點b1~需要點b3的附上對應方式。在此成本是根據移動時間的函數,因此可求取距離最近的供給點與需要點的1對1匹配。在圖12的例子中,例如連結a1與b1的配送路徑e11 ,連結a2與b3的配送路徑e16 ,連結a3與b2的配送路徑e18 的組合是成本的合計成為最小的配送路徑,該情況,a1與b1,a2與b3,a3與b2是以1對1附上對應。 7.其次,以被附上對應的2個的停靠點含在同區域的方式,以區域來分割全部的停靠點。此時,若被附上對應的2個的停靠點間的移動時間為預定的值以下,則分類成1個的區域。在圖12的例子中,例如,附上對應的a1與b1、a2與b3、a3與b2之中,以a1與b1作為1個的區域(j4),以a2與b3、a3與b2作為1個的區域(j5)分類。 [0082] 8.其次,再度作成以1.~5.的程序所作成的2部圖表,產生6.的相對問題(相對問題是可以數學性的操作來產生)。對於分支e=(u,v),若主問題的最適解X* (e)為1,則將相對問題的最適解設為Y的情況,成為c(e)-Y* (u)-Y* (v)=0(互補性條件:complementary slackness)時,以c^(e)=c(e)-Y* (u)-Y* (v)來定義c^(e),依據0 ≦ c^(e) ≦ ε(ε為預定的定數)來使c^(e)持有寬度。此條件不只是c^(e)=0,c^(e)成為ε以下的情況也意味作為配送路徑的候補處置。亦即,即使在主問題不只是成本形成最小的情況,也可取得持有寬度的解。藉由此解的條件的緩和,在圖12的例子中,例如可重新取得連結a1與b1的配送路徑的候補e19 。 [0083] 以上第一區域分割處理完了。一旦第一區域分割處理完了,則配送計畫產生部12會針對分割後的各區域產生配送計畫。此時,配送計畫產生部12是使用在第一區域分割處理取得的配送路徑的候補來產生符合條件的配送計畫。具體而言,上述的「1.流量保存規則」~「6.對於在配送據點之中停留的分支之限制」之外,還在限制條件加上使用在第一區域分割處理取得的配送路徑的候補(e11 ,e16 ,e18 ,e19 ),計算分支資訊的集合。 [0084] 其次,說明有關本實施形態的配送計畫的產生處理的流程。 圖13是表示本發明的第一實施形態的配送計畫的產生處理的一例的流程圖。 首先,進行配送計畫的配送人員會將配送計畫的初期條件輸入至配送計畫裝置10。輸出入部13是受理該輸入,將受理的資訊輸出至初期條件設定部11。初期條件設定部11是取得配送人員所輸入的初期條件的資訊(步驟S11)。初期條件設定部11是將取得的初期條件的資訊設定於配送計畫的初期條件。所謂初期條件是例如各據點的配送物的供給數量(多餘的數量)、需要數量(不足的數量)、處於出發據點的配送車的台數、配送人員的人數、各據點間的移動時間、配送期限等。 其次,第一區域分割部14是利用在初期條件的資訊所含的各配送據點(或停靠點)的配送物的供給數量、需要數量來進行第一區域分割處理(步驟S12)。有關第一區域分割處理是如利用圖11,圖12來說明般。 [0085] 其次,配送計畫產生部12是按每個在第一區域分割處理取得的區域,以在圖3或圖8所例示的時空網路模型上,符合上述的各限制條件之方式產生分支資訊,產生複數個符合配送期限等的條件之分支資訊的集合(步驟S13)。具體而言,配送計畫產生部12是針對在第一區域分割處理取得的配送路徑的候補,附加配送物的數量、配送車的台數、配送人員的人數的資訊,產生符合各限制條件(「1.流量保存規則」~「6.對於在配送據點之中停留的分支之限制」)的分支資訊。配送計畫產生部12是組合產生的分支資訊,而產生複數個表示至配送期限為止符合各據點的需要台數之類的配送的分支資訊的集合。 [0086] 其次,配送計畫產生部12是按每個區域,按每個產生後的分支資訊的集合來計算總成本(步驟S14)。例如,按每個配送車、配送人員、配送物,每單位時間發生的單位成本會被預先記錄於記憶部15,配送計畫產生部12是對配送車、配送人員、配送物的單位成本乘上各分支所示的時間來計算每個分支的成本(花在配送車、配送人員、配送物的成本的合計)。配送計畫產生部12是計算分支資訊的集合所含的每個分支的成本而將該等合計。合計後的成本為對於1個的分支資訊的集合之成本。配送計畫產生部12是按每個區域,針對全部的分支資訊的集合各者計算成本。 [0087] 其次,配送計畫產生部12是按每個區域,針對計算後的各集合來比較計算後的成本,選擇總成本成為最小的分支資訊的集合(步驟S15)。選擇後的分支資訊的集合是由初期條件所示的出發據點或各配送據點的狀態來表示隨著時間的經過之配送物、配送手段、配送人員的移動(圖3、圖8)。因此,只要根據分支資訊的集合來實行配送,對應於來自使用者的需要之配送便成為可能。亦即,此分支資訊的集合是有關分割後的1個區域之求取的配送計畫。一旦配送計畫產生部12完成產生每個區域的配送計畫,則對於作為初期條件被賦予的全配送據點之配送計畫會被產生。 [0088] 若根據本實施形態,則藉由將在初期條件被賦予的配送據點的全體分割成處於近距離的配送據點的集合(區域),可縮小配送問題的規模,可削減在各區域的配送計畫的產生處理的計算量。在進行區域分割時算出配送路徑的候補,從該等的候補之中選擇配送路徑來產生分支資訊,因此可更削減計算量。藉此,即使配送物或配送據點的數量多,配送問題形成大規模的情況,也可以實用性的時間(例如10分鐘)產生配送計畫。 配送計畫產生部12是亦可在步驟S13中不使用配送路徑的候補來產生分支資訊,產生配送計畫。 亦可加進區域的配送計畫的成本來再構成區域。例如,有對於配送成本的差顯著偏離的區域的一對,藉由擴大儘快配送完了的區域,縮小很晚配送完了的區域,可降低全體的成本的情況。 [0089] <第二實施形態> 其次,參照圖14~圖18來說明針對大規模的配送問題以實用性的時間產生配送計畫的其他的方法(第二實施形態)的配送計畫系統。在第一實施形態是著眼於比較近距離存在的需要點及供給點,集合一對的需要點及供給點來產生的小規模的區域。在第二實施形態是以出發據點為中心進行區域分割處理,在分割後的各區域內產生配送計畫。將第二實施形態的區域分割處理稱為第二區域分割處理。 [0090] 圖14是表示本發明的第二實施形態的配送計畫系統的一例的機能方塊圖。 本發明的第二實施形態的構成之中,與本發明的第一實施形態之構成配送計畫裝置10的機能部相同者是附上同樣的符號,省略各個的說明。第二實施形態的配送計畫裝置10A是取代第一實施形態的構成的第一區域分割部14,而具備第二區域分割部16。 第二區域分割部16是取得複數個表示預先被設定的配送路徑及以該配送路徑配達時的成本之單位路徑資訊,該預先被設定的配送路徑是從出發據點出發來進行一部分的配送據點間的配送而回到原來的出發據點。第二區域分割部16是從複數的單位路徑資訊的組合之中,選擇該組合所含之配送據點的數量成為預定的數量以內,且成本成為最小的組合。此單位路徑資訊的組合所含的出發據點及配送據點的集合為分割後的區域。 第二區域分割部16是藉由配送計畫裝置10A所具備的CPU從記憶部15讀出程式實行而實現。 [0091] 圖15是說明本發明的第二實施形態的配送問題的第二區域分割處理的第一圖。 在圖15中,圓點是表示配送據點w1~配送據點w17,四角點是表示出發據點c1~出發據點c3。在本實施形態中,首先,列舉可思考的所有的需要・供給的模式(pattern)之後,按每個出發據點作成多數個符合各模式的需要・供給之單純的配送路徑。在此,在出發據點c1~出發據點c3是存在充分量的配送車(卡車)或配送人員,配送據點w1,w3,w6,w8,w10為供給點,配送據點w2,w5,w7,w9,w11為需要點。涉及配送的配送物的種類是設為相同。此情況,所謂符合每個出發據點的需要・供給之單純的配送路徑是例如從出發據點c1出發到配送據點w1(R1),在配送據點w1取配送物,朝配送據點w2運該配送物(R2),一旦配達終了,則回到出發據點c1(R3)的配送路徑(作為配送路徑1)。同樣,從出發據點c1經由配送據點w3、配送據點w5來回到出發據點c1的路徑(作為配送路徑2),從出發據點c1經由配送據點w6、配送據點w7來回到出發據點c1的配送路徑(作為配送路徑3),從出發據點c2經由配送據點w8、配送據點w9來回到出發據點c2的配送路徑(作為配送路徑4),從出發據點c3經由配送據點w10、配送據點w11來回到出發據點c3的配送路徑(作為配送路徑5)等。該等的單純的路徑是預先被作成多數個,被記錄於記憶部15。雖未圖示,但例如以下般的路徑也被作成預先被記錄於記憶部15。從出發據點c1經由配送據點w1及配送據點w5來回到出發據點c1的配送路徑,從出發據點c1經由配送據點w1及配送據點w7來回到出發據點c1的配送路徑,從出發據點c1經由配送據點w3及配送據點w2來回到出發據點c1的配送路徑,從出發據點c1經由配送據點w10及配送據點w11來回到出發據點c1的配送路徑,從出發據點c2經由配送據點w1及配送據點w2來回到出發據點c2的配送路徑,從出發據點c3經由配送據點w1及配送據點w2來回到出發據點c3的配送路徑等。 [0092] 所謂單純的配送路徑,不是單指經由1個的供給點、1個的需要點來回到原來的出發據點的配送路徑(巡迴2個的配送據點而回到原來的出發據點的路徑),亦可為從出發據點c1出發,在配送據點w1取2個配送物,將配送物各一個送達配送據點w2及配送據點w4,回到出發據點c1的配送路徑(配送據點為3個的例子)。或,亦可為從出發據點c1出發,在配送據點w1取1個配送物,送達配送據點w2,接著在配送據點w3取1個配送物,送達配送據點w4,回到出發據點c1的配送路徑(配送據點為4個的例子)。 [0093] 圖16是說明本發明的第二實施形態的配送問題的第二區域分割處理的第二圖。 如圖16所圖示般,在記憶部15是記錄有複數個預先被準備的單純的配送路徑。對單純的配送路徑附上對應,記錄以該配送路徑配送時的成本。成本是例如作為移動時間的函數被賦予。預先被記錄的單純的配送路徑與成本的資訊是越多越可產生更精度高(接近嚴格的最適解)的配送計畫。將包含圖16所例示的單純的配送路徑及對應於該配送路徑的成本之資訊稱為單位路徑資訊。 [0094] 圖17是說明本發明的第二實施形態的配送問題的第二區域分割處理的第三圖。 其次,利用圖15~圖17來說明有關第二區域分割部16之第二區域分割處理。 前提是在記憶部15記錄有在圖16所例示的單位路徑資訊。有關配送的要求事項(每個配送據點的需要數量、供給數量、出發據點的配送車的台數、配送人員的人數等)的初期條件會被賦予。 1.首先,第二區域分割部16是從記憶部15讀出在初期條件被賦予的配送要求(需要)之中,包含符合一部分的配送路徑之單位路徑資訊。 2.其次,第二區域分割部16是組合讀出的單位路徑資訊所含的配送路徑,作成符合全部的配送要求的路徑,作為暫定解。在此,作為組合預先被記錄的單純的配送路徑,求取符合全部的要求且成本成為最便宜的組合的方法,雖可使用被稱為集合分割途徑的數學的手法,氮此手法的情況,一旦單純的配送路徑的數量形成膨大,則該組合的最適化問題是有無法以實用性的時間解開的情況。為此,第二區域分割部16是記憶部15所記憶的多數的單純的配送路徑之中,使用少數的配送路徑來產生初期解,利用被稱為列產生法的數學的手法來一邊追加單純的配送路徑,一邊求取最適解。用以產生初期解的少數的單純的配送路徑是可用任意的方法來選擇。在初期解的產生是可使用一般被提供的解算器(solver)。此時,在1個的出發據點所擔負的配送據點的數量設置限制(例如,包含需要點與供給點,6據點以內等)。在此,之所以在配送據點的數量設置限制(上限),是為了削減計算量,使處理高速化。有關限制的配送據點的數量是例如亦可實際進行計算,將可在實用性的時間內求解的情況的配送據點的數量定為上限。初期解,例如可取得圖15所示的解(配送路徑1~配送路徑5)。 [0095] 3.其次,第二區域分割部16是藉由列產生法(周知的數學的手法)來從未選擇的單純的配送路徑之中選擇1個或複數的配送路徑,計算更換已被選擇的某單純的配送路徑與選擇後的單純的配送路徑時的減少成本。所謂減少成本是從對應於藉由更換而作為重新解被選擇的單純的配送路徑來記錄的成本(圖16的成本欄)的合計減去對應於更換前被選擇的原本的單純的配送路徑來記錄的成本的合計之值。 [0096] 4.第二區域分割部16是若在3.計算後的減少成本為負的值(更換後較便宜),則以在3.選擇的單純的配送路徑來更新既存的全配送路徑的一部分。例如,有關朝配送據點w7的配送,在圖15所示的初期解,雖配送路徑3會被選擇,但第二區域分割部16是取代此配送路徑3,計算更換成從出發據點c2經由配送據點w6、配送據點w7來返回至出發據點c2的路徑(設為配送路徑6)時的減少成本。依據圖16,配送路徑3的成本是2500,配送路徑6的成本是1500,所以減少成本是-1000。因此,第二區域分割部16是以配送路徑6來更新配送路徑3。將更新後的單純的配送路徑的組合顯示於圖17。計算減少成本的情況也第二區域分割部16是以1個的出發據點所擔負的據點的數量成為限制內的方式選擇配送路徑。 [0097] 此例是舉將單純的配送路徑從出發據點c1的擔負範圍移往出發據點c3的擔負範圍的例子,但配送路徑的更新並非限於此例。例如,亦可為在圖15的狀態,將出發據點c1所擔負的路徑內的配送路徑1與配送路徑2的組合更新成從出發據點c1經由配送據點w3、配送據點w2來朝出發據點c1返回的路徑與從出發據點c1經由配送據點w1、配送據點w5來朝出發據點c1返回的路徑的組合之方法。或,亦可為在配送據點w1有2個作為對象的配送物,將配送路徑1與配送路徑2的組合更新成從出發據點c1經由配送據點w1、配送據點w2、配送據點w3、配送據點w5來朝出發據點c1返回的配送路徑之方法。 [0098] 5.第二區域分割部16是重複3.~4.的處理,在可減少成本的路徑變無的時間點終了第二區域分割處理。一旦第二區域分割處理終了,則按每個出發據點,限制條件(例如6據點)以內的配送據點會被附上關聯。此被附上關聯的複數的配送據點與出發據點的集合(例如區域j6~區域j8的各者)為藉由第二區域分割處理所取得的區域。 [0099] 其次,說明有關本實施形態的配送計畫的產生處理的流程。 圖18是表示本發明的第二實施形態的配送計畫的產生處理的一例的流程圖。有關與圖13同樣的處理是簡單地進行說明。 首先,初期條件設定部11是取得配送人員等所輸入的初期條件的資訊(步驟S11)。 其次,第二區域分割部16是利用初期條件的資訊所含之在各據點的配送物的供給數量、需要數量、在出發據點的配送人員數、配送車的種類及數量來進行第二區域分割處理(步驟S121)。有關第二區域分割處理是如利用圖15~圖17來說明般。 [0100] 其次,配送計畫產生部12是按每個在第二區域分割處理所取得的區域(在第二區域分割處理所取得的出發據點及被該出發據點附上關聯的複數的配送據點的集合),在圖3或圖8所例示的時空網路模型上,以符合上述的各限制條件之方式產生分支資訊,產生複數個符合配送期限等的條件之分支資訊的集合(步驟S131)。在圖17的例子中,配送計畫產生部12是針對區域j6~區域j8的各者來產生複數個分支資訊的集合。配送計畫產生部12是亦可無關在第二區域分割處理使用的單純的配送路徑及其組合,進行分支資訊的產生,或亦可利用單純的配送路徑及其組合來進行分支資訊的產生。 [0101] 其次,配送計畫產生部12是按每個產生後的分支資訊的集合來計算總成本(步驟S14)。在圖17的例子中,配送計畫產生部12是針對區域j6~區域j8的各者來計算每個產生後的分支資訊的集合的總成本。 其次,配送計畫產生部12是比較計算後的總成本,選擇總成本成為最小的分支資訊的集合(步驟S15)。在圖17的例子中,配送計畫產生部12是針對區域j6~區域j8的各者來選擇總成本成為最小的分支資訊的集合。 選擇後的分支資訊的集合是表示各區域的配送計畫。亦即,一旦配送計畫產生部12完成產生每個區域的配送計畫,則有關分割前的全配送據點的配送計畫會被產生。 [0102] 若根據本實施形態,則可藉由將在初期條件被賦予的有需要或供給的全部的配送據點一個一個對出發據點附上關聯,可分割成每個出發據點的配送區域。藉由分割成小規模的配送區域,按每個該等的配送區域進行配送計畫的產生處理,相較於以在初期條件被賦予的全部的有需要的配送據點作為對象來產生配送計畫的情況,可削減配送計畫的產生所必要的計算量。藉此,即使配送物或配送據點的數量多,配送問題形成大規模時,也可以實用性的時間(例如10分鐘)擬定配送計畫。 [0103] <第三實施形態> 更參照圖19~圖22來說明有關針對大規模的配送問題以實用性的時間產生配送計畫的其他的方法(第三實施形態)的配送計畫系統。第一實施形態、第二實施形態是根據初期條件所含的每個配送據點的需要及供給的資訊來空間性地分割(區域分割)配送問題,藉此分割成小規模的配送問題,藉由解開小規模的配送問題來實現處理的高速化之方法。此第三實施形態是根據初期條件所含的配送物的配送限制時間的資訊來藉由時間性的分割使配送問題小問題化,按分割後的各時間產生配送計畫。 [0104] 圖19是表示本發明的第三實施形態的配送計畫系統的一例的機能方塊圖。 本發明的第三實施形態的構成之中,與本發明的第一實施形態之構成配送計畫裝置10B的機能部相同者是附上同樣的符號,省略各個的說明。第三實施形態的配送計畫裝置10B是取代第一實施形態的構成的第一區域分割部14,而具備時間分割部17。配送計畫裝置10B是取代配送計畫產生部12,而具備配送計畫產生部12a。 時間分割部17是將在初期條件被賦予的配送限制時間分割成複數的時間,藉此分割成每個分割配送問題的時間之規模小的配送問題。將時間分割部17所分割而形成的各時間稱為區間。 配送計畫產生部12a是按照時間分割部17所分割而形成的區間,將設定了不同的目的函數或限制的配送問題解開而產生配送計畫。例如,配送計畫產生部12a是產生從分割後的各區間的最初的時刻的配送物的配送狀況(前1個的區間終了時的配送的進展狀況)開始配送,在該區間內配送物盡可能更多被配送至有需要的配送據點之類的配送計畫。時間分割部17有關分割而形成的區間之中最後的區間是產生在其最後的區間內配送物會被配送至在初期條件所示之有需要的配送據點之中成為未配送的配送據點的全部之配送計畫。 時間分割部17、配送計畫產生部12a是藉由配送計畫裝置10B所具備的CPU從記憶部15讀出程式實行而實現。 [0105] 圖20是說明本發明的第三實施形態的配送問題的時間分割處理的第一圖。 圖20的左圖是表示某配送問題的初期狀態。在配送據點w1是配送物d1多餘2個,在配送據點w2是配送物d1多餘3個。在配送據點w3是配送物d1不足4個,在配送據點w4是配送物d1不足1個。可思考由此初期狀態將配送物d1配送成為在120分鐘以內符合配送據點w3、配送據點w4的需要之問題。在第一實施形態、第二實施形態中,按每個區域分割配送據點w1~配送據點w4。在本實施形態中,分割作為初期條件被賦予的配送限制時間120分鐘。 具體而言,時間分割部17是將配送限制時間120分鐘分割成複數的時間(區間)。例如,時間分割部17是將配送限制時間120分鐘分割成前半60分鐘、後半60分鐘的2個的區間。時間分割部17所分割而形成的1區間的時間的長度或區間的數量可為任意。例如,時間分割部17是亦可將120分鐘分割成90分鐘及30分鐘,或分類成每40分鐘的3個的區間。時間分割部17是亦可以比在初期條件被賦予的配送限制時間更只短預定的時間的時間作為分割後的第1個的區間,以剩下的時間作為最後的區間。 [0106] 圖20的右圖是表示時間分割部17將配送限制時間120分鐘分割成各60分鐘的2個區間。一旦時間分割部17進行配送限制時間的分割,則配送計畫產生部12a會針對分割而形成的第1個的區間進行配送計畫的產生。此時,配送計畫產生部12a不是以符合全部的要求為目標,而是產生在1個目的區間的終了時間點盡可能使符合多的要求之類的配送計畫。所謂以符合全部的要求為目標,此例的情況,是以60分鐘配送配送物d1,使能滿足配送據點w3及配送據點w4的需要數量。所謂盡可能使符合多的要求之類的配送計畫,例如在開始配送之後60分鐘後,在配送據點w3的配送物d1的不足為3個,在配送據點w4的配送物d1的不足為0個的配送計畫,及在配送據點w3的配送物d1的不足為2個,在配送據點w4的配送物d1的不足為0個的配送計畫產生時,意指後者的配送計畫。 [0107] 其次,說明有關針對第1個的區間設定的目的函數、限制。其次說明的目的函數等較一般是時間分割部17會將配送限制時間分割成N個的情況,除了最後的區間(第N個的區間),針對全部的區間(沿著時間的流程,從第1個的區間到N-第1個的區間)使用的目的函數等。 [0108] (目的函數) 使以下的(1)~(7)的和最小化。 (1)據點間的移動成本 可抑制據點間的移動成本。 (2)符合需要供給的時刻 在促使盡可能加快符合需要供給的時刻下,解的選擇項會減少(儘管是即使在後的時刻也可同樣的配送的情況,藉由只解最先的配送,可減少選擇項,連帶計算量的削減)。 (3)在符合需要的情況進行供給的停靠點號碼 在促使由小的號碼的停靠點進行供給下,解的選擇項會減少(儘管是即使配送至大的號碼的停靠點也無問題的情況,藉由選定成最小的號碼的停靠點,可減少解的選擇項,削減計算量)。 (4)存在於配送據點的人、配送手段之中,在之後的區間不使用者的數量(g[w]) 促使在計算中的區間的最後的時刻,使在其次的區間未被利用於配送物的配送之多餘的人・配送手段移動至出發據點。例如,在第一區間的最後的時刻,可搭載腳踏車而移動的配送手段變無時,在第二區間,由於不將腳踏車使用於配送,因此使移動至出發據點。 (5)符合需要點的需要、供給點的供給的情況,存在於該等的配送據點的人、配送手段的數量 促使在符合需要供給的配送據點,人或配送手段不會殘留。在本實施形態中,有關進行時間分割的各個的區間(雖繼承前一個的區間的配送狀況),但獨立算出配送計畫,因此有可能在之後的區間不使用的多餘的配送人員或配送手段殘留於配送據點。於是,追加(4)、(5)來使多餘的配送人員等不會殘留於配送據點。 (6)在供給點剩下的配送物的數量、在需要點不足的配送物的數量 (7)配送物不足的需要點的數量 藉由(6)、(7),可促使在該區間的最後的時刻,盡可能儘量地多符合需要供給的條件。 目的函數是作為使對應於各項目(1)~(7)的各個的內容之函數的和最小化的情形表示,但亦可對目的函數的各項(各項目的函數)乘算任意的係數來進行加權。 [0109] 其次,說明有關限制。 1.流量保存規則 (I)分割後的各區間之中最後的區間以外的區間的情況 (1)有關配送物的流量 在區間的開始時間點,從存在供給的停靠點出去的流量是成為1,從不存在供給的停靠點出去的流量是成為0。在其他的點,不是區間的終了時間點的情況,出去的流量與進入的流量是相等。 (2)有關配送車的流量 在區間的開始時間點,從道路出去的流量是成為存在於該據點的配送車的數量。在其他的點,不是區間的終了時間點的情況,出去的流量與進入的流量是相等。 (3)有關配送人員的流量 在區間的開始時間點,從道路出去的流量是成移存在於該據點的配送人員的數量。在其他的點,不是區間的終了時間點的情況,出去的流量與進入的流量是相等。 [0110] (Ⅱ)分割後的各區間之中最後的區間的情況 (1)有關配送物的流量 在區間的開始時間點,從存在供給的停靠點出去的流量是成為1,從不存在供給的停靠點出去的流量是成為0。在區間的終了時間點,進入至存在需要的停靠點的流量是成為1,進入至不存在需要的停靠點的流量是成為0。在其他的點,出去的流量與進入的流量是相等。 (2)有關配送車的流量 在區間的配送開始時間點,從道路出去的流量是成為存在於該據點的配送車的數量。在區間的終了時間點,從道路進入的流量是成為在該據點有需要的配送車的數量。在其他的點,出去的流量與進入的流量是相等。 (3)有關配送人員的流量 在區間的配送開始時間點,從道路出去的流量是成為存在於該據點的配送人員的人數。在區間的終了時間點,從道路進入的流量是成為在該據點有需要的配送人員的人數。在其他的點,出去的流量與進入的流量是相等。 [0111] 2.容量限制 配送據點內的配送物、人的移動量為1以下。 [0112] 3.配送據點內的限制1(Ewp 是表示配送物、配送手段、人從道路往停靠點移動之分支的集合) (1)e的去處為d的供給點時 配送物是不從道路進入停靠點。 (2)e的去處為d的需要點時 配送物與配送人員的流量為取同值(0或1)。 (3)哪個情況皆是腳踏車的台數為配送人員的人數以下。 [0113] 4.配送據點內的限制2(Epw 是表示配送物、配送手段、人從停靠點往道路移動之分支的集合) (1)e的出發點為d的供給點時 配送物與配送人員的流量為取同值(0或1)。 (2)e的出發點為d的需要點時 配送物是不從停靠點出去至道路。 (3)哪個情況皆是腳踏車的台數為配送人員的人數以下。 [0114] 5.對於有關區間的最後的時刻的罰則(penalty)的變數之限制 對於任意的道路w,將在其次的區間不使用的人或配送手段的數量設為g[w]時,放入g[w] ≦ f[w]的限制。 f[w]是表示任意的數。藉由調整f[w]的值,可變更能容許殘存於區間的最後的情形的人、配送手段的數量。 [0115] 6.對於從道路往道路的分支之限制 (1)從道路往道路的分支為車的分支時(載腳踏車的可能性有) 限制在配送車中一定有配送人員乘坐,配送人員的人數為可搭乘人數以下,無法駕駛的腳踏車的台數為可裝載於車的台數以下。 (2)從道路往道路的分支為腳踏車的分支且為徒步的分支,不為車的分支時(以腳踏車或徒步移動) 腳踏車台數與以徒步移動的人數的和是相等於移動該分支的配送人員的人數。 (3)從道路往道路的分支為腳踏車的分支,但不為車的分支,也不為徒步的分支時(以腳踏車移動) 腳踏車台數與移動該分支的配送人員的人數相等。 (4)從道路往道路的分支為徒步的分支,但不為車的分支,也不為腳踏車的分支時(以徒步移動) 以徒步移動的人數與移動該分支的配送人員的人數相等。 [0116] 7.對於在配送據點之中停留的分支之限制 限制在車中一定有人乘坐,腳踏車無法路上停車,配送物的總體積為卡車的裝載量以下。 [0117] 配送計畫產生部12a是利用第1或第2時空網路來解開在該等的目的函數或限制條件下被定式化的配送問題(整數計畫問題)。在實際的計算中,亦可加上切割來謀求更高速化。在圖20的右圖表示配送計畫產生部12a針對第1個的區間來產生配送計畫的結果的一例。若根據此計畫,則開始配送之後60分鐘後,在配送據點w1及配送據點w2,配送物d1多餘1個,在配送據點w3,配送物d1不足2個,在配送據點w4,可知配送物d1的不足解消。 [0118] 如此分割時間來計算的方法的優點,可舉其次般的點。首先,藉由將配送限制時間從120分鐘形成60分鐘,可減少計算所必要的參數的數量,削減計算量。在圖20中,基於說明的方便起見,舉配送據點、配送物的數量皆少的例子,但在計算在120分鐘以內配送20個以上的配送物至20處的配送據點時,例如,可知變數為41000,甚至限制為61000。相對於此,以前半的60分鐘來劃分時間,產生上述盡可能符合多的要求之類的配送計畫時,例如,可將變數的數量壓到14000,將限制的數量壓到18000程度。藉由如此減少參數的數量,可削減計算量,使處理高速化。其次,說明有關後半的60分鐘的配送計畫的產生處理。 [0119] 圖21是說明本發明的第三實施形態的配送問題的時間分割處理的第二圖。 在圖21顯示使用分割後的後半60分鐘來進行的配送計畫的產生處理。整理有關後半60分鐘的開始時間點的各配送據點的需要數量與供給數量。在後半的開始時間點的配送據點w1及配送據點w2,配送物d1多餘1個,在配送據點w3,配送物d1不足2個。配送計畫產生部12a必須使用後半60分鐘來產生的配送計畫是將配送據點w1及配送據點w2的配送物d1配送成為在剩下的60分鐘以內符合配送據點w3的需要之問題。有關配送據點w4,因為配送據點w4的不足是在前半60分鐘解消,所以不含在後半60分鐘的配送問題中。 [0120] 其次,說明有關針對以將配送限制時間分割成N個時的最後的區間作為對象的配送問題設定的目的函數、限制。此情況的目的函數或限制等是與利用第1時空網路模型(圖3)、第2時空網路模型(圖8)來說明者同樣。亦即,配送計畫產生部12a是產生以至最後的區間的最後的時刻為止符合全部的需要之方式完成配送配送物的配送計畫之中,使成本或配送所花的移動時間最小化的配送計畫。 [0121] 若舉有關後半的60分鐘(最後的區間)的處理的優點,則首先與前半60分鐘同樣,可舉藉由將配送限制時間形成60分鐘,可減少參數的數量,削減計算量,藉此可謀求處理的高速化的點。進一步,可舉藉由在至最後的區間為止的各區間所被算出盡可能多符合要求之類的配送計畫,剩下的需要會減少,因此必須解開的配送問題的規模會變小。例如,在圖20、圖21所示的例子中,不單只是各需要點的需要數量減少,符合在配送據點w4的需要,因此成就了減少配送據點的數量。藉此更可縮小配送問題的規模。將在120分鐘以內配送20個以上的配送物至20處的配送據點的問題分割成每個60分鐘時,在後半60分鐘的區間,例如,可使變數的數量減少至8000,使限制的數量減少至12000程度。如此,若根據本實施形態,則藉由時間的分割之參數的減少,及時間上先的區間中產生的配送計畫,由於可使在之後的區間的配送問題的規模縮小化,因此可使配送計畫的產生處理高速化。在第三實施形態中,由於不進行區域分割,因此與第一實施形態、第二實施形態作比較,可仍舊確保配送據點分布的大域性來產生配送計畫,可產生更被最適化的配送計畫。 [0122] 其次,說明有關本實施形態的配送計畫的產生處理的流程。 圖22是表示本發明的第三實施形態的配送計畫的產生處理的一例的流程圖。有關與圖13、圖18同樣的處理是簡單地進行說明。 首先,進行配送計畫的配送人員會將配送計畫的初期條件輸入至配送計畫裝置10B。輸出入部13是受理該輸入,將受理的資訊輸出至初期條件設定部11。初期條件設定部11是取得配送人員所輸入的初期條件的資訊(步驟S11)。 其次,時間分割部17是利用初期條件的資訊所含的配送限制時間來進行時間分割處理(步驟S122)。有關時間分割處理是如利用圖20來說明般。例如,時間分割部17是將初期條件的配送限制時間分割成2~3個。或,以經驗法則等對於有需要的配送據點之配送完了為可以一定的比例估計的時間(例如75分鐘)得知時,藉由使用者的設定,時間分割部17是亦可以該時間單位(例如75分鐘)來分割原來的配送限制時間,以剩下的時間作為最後的區間。或,時間分割部17是亦可以比在初期條件被賦予的配送限制時間更只短預定的時間的時間作為分割後的第1個的區間,以剩下的時間作為最後的區間。其次,配送計畫產生部12a是對於被分割的各區間依時間順序產生配送計畫。首先,配送計畫產生部12a是對計數器(counter)變數n設定1(步驟S123)。其次,配送計畫產生部12a是設定第n個的區間的配送問題(步驟S124)。例如,若為第1個的區間,則配送計畫產生部12a是將初期條件的資訊所含的各配送據點的需要數量、供給數量、存在於出發據點的配送手段的數量、配送人員的人數、第1個的區間的時間利用於配送限制時間,盡可能符合多的要求,使根據成本最便宜的配送計畫的產生用的目的函數、限制條件之整數計畫問題定式化。 [0123] 其次,配送計畫產生部12a是對於定式化的整數計畫問題,利用在圖3或圖8所例示的第1或第2時空網路模型,產生複數個符合各限制,且盡可能滿足各配送據點的需要之類的分支資訊的集合(步驟S132)。其次,配送計畫產生部12a是按每個產生後的分支資訊的集合來計算總成本(步驟S14)。其次,配送計畫產生部12a是比較計算後的總成本,選擇總成本成為最小的分支資訊的集合(步驟S15)。藉此,對於第n個(此次是第1個)的區間之配送計畫會被產生。 [0124] 其次,配送計畫產生部12a是判定n是否與N相等(步驟S16)。n與N相等時(步驟S16;Yes),相對於分割後的全部的區間之配送計畫會被產生,因此終了配送計畫的產生處理。n不與N相等時(步驟S16;No),配送計畫產生部12a是對n加算1(步驟S17),重複來自步驟S124的處理。 [0125] 具體而言,例如,加算1後的n的值為2時,配送計畫產生部12a是在步驟S124中,將實行針對第1個的區間產生的配送計畫後的結果的各配送據點的需要數量、供給數量、存在於出發據點的配送手段的數量、配送人員的人數、第2個的區間的時間予以利用在配送限制時間,使整數計畫問題定式化。此時,配送計畫產生部12a是若n與N相等,則使符合全部的要求的配送計畫的產生用的目的函數、限制之整數計畫問題定式化(與第一實施形態、第二實施形態同樣的目的函數等)。當n不與N相等時,配送計畫產生部12a是使盡可能符合多的要求的配送計畫的產生用的目的函數、限制之整數計畫問題定式化。配送計畫產生部12a是解開整數計畫問題來產生第n個的區間的配送計畫。配送計畫產生部12a是針對全部的區間,至產生配送計畫為止(n與N相等為止)重複步驟S124~步驟S17的處理。針對第1個的區間~第N個(最後)的區間的各者來依序產生的配送計畫的全體為符合在初期條件被賦予的要求的配送計畫。 [0126] 在圖22的流程圖中,將最初在初期條件被賦予的配送限制時間分割成幾個的區間,例如,亦可其次般構成配送計畫處理。 1.首先,設定比在初期條件被賦予的配送限制時間短的區間(第一配送限制時間),產生在該區間內盡可能多且可便宜配送的配送計畫。 2.其次,針對在該第一配送限制時間內無法完成配送的配送物,更設定接續於第一配送限制時間的預定長度的區間(第二配送限制時間),產生在設定的區間內盡可能配送多的配送物之配送計畫。 3.離配送開始的區間的長度的合計不會超過配送限制時間的期間,重複1.~2.的步驟。亦即,一邊延長時間,一邊找到解(時間展開法)。最初的區間或延長的區間的長度是可按照配送狀況來任意設定。 4.離配送開始的時間的合計超過配送限制時間時,以其次的區間作為最後,產生在最後的區間內(以之前剛產生的配送計畫的完了時間點作為開始時刻,以第一配送限制時間的開始時刻為基準,以初期條件所含的配送限制時間經過的時刻作為終了時刻的時間內)符合全部的需要的成本成為最小之類的配送計畫。 [0127] 實際進行本實施形態的配送計畫產生處理時,對於配送據點為20處,配送物為20個程度的配送問題,可以實用性的時間(10分鐘以內)算出準最適解(與嚴格的最適解作比較,目的函數的值的差為10%以下)。 [0128] 本實施形態的配送計畫產生方法是亦可利用在以下那樣的場面。例如,必須在120分鐘將全部的車輛配送至有需要的停車場時,首先針對前半60分鐘產生配送計畫。一旦完成產生配送計畫,則實際根據該配送計畫,開始車輛的配送。進行車輛的配送的期間,產生剩下的60分鐘的配送計畫。如此,藉由並行配送計畫的產生處理及配送,例如在進行汽車共享的服務的現場,可有效地使用時間。 [0129] 上述的配送計畫裝置10、10A、10B的各處理的過程是以程式的形式來記憶於電腦可讀取的記錄媒體,藉由配送計畫系統的電腦讀出此程式實行來進行上述處理。在此所謂電腦可讀取的記錄媒體是意指磁蝶、光磁碟、CD-ROM、DVD-ROM、半導體記憶體等。亦可藉由通訊線路來將此電腦程式配訊至電腦,接受此配訊後的電腦實行該程式。 [0130] 上述程式是亦可為用以實現前述的機能的一部分者。更亦可以將前述的機能與已經被記錄於電腦系統的程式的組合來實現者,所謂的差分檔案(差分程式)。配送計畫裝置10、10A、10B是亦可以1台的電腦來構成,或以可通訊連接的複數的電腦所構成。 [0131] 其他,在不脫離本發明的主旨的範圍,可適當將上述實施形態的構成要素置換成周知的構成要素。此發明的技術範圍並非限於上述的實施形態,可在不脫離本發明的主旨範圍內施加各種的變更。 [0132] 配送人員是配送主體的一例,配送車、卡車、腳踏車是配送手段的一例,汽車共享的共用的車輛是配送物的一例。第一區域分割部14、第二區域分割部16、時間分割部17分別為分割部的一例。 [產業上的利用可能性] [0133] 若根據上述的配送計畫系統、配送計畫方法及程式,則可擬定一種以實用性的時間使相對於大規模的配送問題的成本或移動時間最小化之配送計畫。[First Embodiment] Hereinafter, a delivery planning system according to an embodiment of the present invention will be described with reference to FIGS. 1 to 13. FIG. 1 is a functional block diagram showing an example of a delivery planning system according to the first embodiment of the present invention. In this embodiment, the delivery planning system is configured by, for example, a computer device such as a PC or a server device. The computer device is composed of a computing unit such as a CPU (Central Processing Unit), a memory unit such as ROM (Read Only Memory), RAM (Random Access Memory), HDD (Hard Disk Drive), and other hardware such as a network interface. . [0027] The delivery planning device 10 of FIG. 1 is an example of a delivery planning system. The delivery planning device 10 is a device that calculates delivery methods, delivery routes, and the like that minimize costs for delivery plans that include boarding and transportation. In the present embodiment, a method of formulating an optimal distribution plan for realizing the distribution is given as an example of a scenario in which a vehicle commonly used by a user is delivered to a place where the user starts to use it in a drop-off car sharing type. In the case of delivery, for example, it is required to select a delivery method and a delivery route that minimize costs. The formulation of a distribution plan that minimizes costs is to date a variety of methods being provided. However, the delivery of car-sharing vehicles is different from the case of delivering goods such as courier. That's the point where people can ride on vehicles when they are being delivered. For example, in each of the sites A, B, C, D, and E, there is a state where the vehicle is redundant or insufficient. In such a state, in order to move the vehicle from the excess base of the vehicle to the insufficient base, in accordance with the needs of the user, for example, the following methods can be considered. (1) A one-person delivery person patrols each site with a truck capable of loading a vehicle, loads excess vehicles on the truck, and delivers to an insufficient site. (2) A plurality of delivery personnel board the delivery vehicle and move to each base. When a part of the delivery staff boarding the delivery vehicle arrives at a redundant location of the vehicle, they transfer to the remaining vehicle and drive the vehicle to a location where the vehicle is insufficient (boarding transportation). In such a case, it is not easy to know which delivery method is preferred for distribution, and what route is used for distribution to minimize the cost. The delivery planning device 10 of this embodiment introduces a mathematical model or limitation based on mathematical insights into the delivery plan during boarding and transportation, thereby providing a high-speed and efficient generation of a delivery plan that minimizes costs, for example. method. When the delivery plan device 10 of the present embodiment generates a delivery plan for delivering a delivery item to a delivery base, the required number of delivery items (insufficient number) for each delivery base is given based on the initial conditions for the delivery. And the supply quantity (excess quantity) to divide the entire distribution problem shown in the initial conditions into partial small-scale distribution problems. Thereby, even if the number of vehicles or bases to be distributed is large-scale, a delivery plan can be prepared in a practical time (for example, 10 minutes). [0028] As shown in FIG. 1, the delivery planning device 10 includes an initial condition setting unit 11, a delivery plan generating unit 12, an input / output unit 13, a first region dividing unit 14, and a memory unit 15. The initial condition setting unit 11 is such that a delivery entity (for example, a delivery person) can ride a mobile delivery object (for example, a vehicle used by a user), a delivery entity, a movable delivery object, or a delivery means (for example, a delivery vehicle such as a truck). ) At any of the places where the company stays, the required quantity and quantity of goods delivered, and one or more starting points (e.g., companies that provide car-sharing services) that indicate the initial location of the delivery subject and the delivery means. Use the information of the base), the information of the available distribution methods and the main body of the departure base, and the information of the delivery deadline, etc. as the initial conditions for generating the distribution plan. These parameters are explained in detail later. The distribution plan generation unit 12 calculates point information and branch information, and generates at least one set of branch information for the case where the required number of items to be distributed within the delivery period is delivered to the distribution base where the required number is set. It is a set of the distribution base and the starting base and the time based on the start of distribution. The branch information is the indication between the two point information related to the distribution among the point information, the distribution object, the distribution subject, and the distribution. Means traffic. Departure bases and distribution bases are collectively referred to as bases. The input / output unit 13 accepts an input operation by a user. The input / output unit 13 outputs, to a display or the like, information such as a delivery plan based on a set of branch information generated by the delivery plan generation unit 12. The first area dividing unit 14 is a demand point included in one of the distribution base group that needs to be delivered, and a supply point included in one of the distribution base group that becomes the source of supply of the distribution, so that the demand point from the one is included. Attach the correspondence in such a manner that the moving time to the one supply point becomes the smallest, and generate a set of the corresponding combination of the demand point and the supply point. That is, the first area dividing unit 14 divides all the delivery problems of all delivery base groups that need to be delivered according to the initial conditions into all the delivery area unit delivery problems shown in the generated collection (from the collection location). (Including the distribution of the required point group to the supply point group). Then, the delivery plan generation unit 12 generates a collection of branch information for each of the divided small-scale delivery problems. The storage unit 15 is information necessary for generating a delivery plan. The initial condition setting unit 11, the delivery plan generation unit 12, and the first area division unit 14 are executed by reading a program from the memory unit 15 by using a CPU (Central Processing Unit; central processing unit) included in the delivery plan apparatus 10, for example. achieve. [0029] The delivery planning device 10 uses a spatio-temporal network model to generate a delivery plan for a given delivery problem. First, a description will be given of a spatio-temporal network model and a method for generating a distribution plan using the spatio-temporal network model. Then, a description will be given of a method for segmenting a distribution problem when the related problem forms a large scale. [0030] FIG. 2 is a diagram illustrating an example of a delivery plan according to the first embodiment of the present invention. A description will be given of a delivery example (vehicle) of a car-sharing type shared car using a get-off and departure type using FIG. 2. In FIG. 2, the center is a base (departure base) where a delivery person of the delivered item exists and starts delivery of the delivered item. The parking lot A, the parking lot B, and the parking lot C are bases (delivery bases) that serve as a source of delivery or a destination for delivery. The user of the delivered item makes a reservation of the delivered item using a predetermined reservation system or the like. The user inputs information such as the number of uses of the delivered items, the use start location (for example, parking lot B), and the like from the reservation system. When the user wants to use the delivery from the parking lot B, if the delivery already exists in the parking lot B, the user can use the delivery. However, when the delivery does not exist in the parking lot B, the delivery person needs to move the delivery to the parking lot B from another parking lot. In the car-sharing type of alighting and alighting, for example, when a user uses a delivery from the parking lot B to the parking lot A, the user takes the delivery to the parking lot A and leaves. Therefore, a large number of users can be used, for example, a situation in which the distribution items are spread throughout the parking lot A. The distribution staff at the center distributes the general distribution to parking lot A ~ parking lot C with the needs of users. In the case of the example of FIG. 2, there are more than two delivery items in parking lot A, and less than one each in parking lot B and parking lot C. The delivery staff at the center will distribute one of the two excess items in parking lot A to each of parking lot B and parking lot C. Users can use the delivered items as desired. FIG. 2 shows an example of the realization of delivery that meets this condition. [0031] First, from the center, two delivery personnel (k, l) boarded a single delivery vehicle 1 (delivery means) and moved toward the parking lot A (1). In the parking lot A, the delivery person k moves to the parking lot B on the delivery of one of the two excess cars. The other delivery persons 1 board the delivery car 1 and move toward the parking lot B (2). In the parking lot B, the delivery person k stops the delivery item in the parking lot B and rides on the delivery vehicle 1 driven by the delivery person 1. The delivery personnel k, l return from the parking lot B to the parking lot A (3). Upon returning to the parking lot A, the delivery person k moves to the parking lot C while boarding the extra one. The delivery person 1 rides on the delivery vehicle 1 without any change and moves toward the parking lot C (4). In the parking lot C, the delivery person k stops the delivery in the parking lot C, and rides on the delivery vehicle 1 driven by the delivery person 1. The delivery personnel k, l return from the parking lot B toward the center (5). If such a procedure is used for distribution, the user's requirements can be met. In this embodiment, the distribution method of the distribution items in such a situation is formalized as the problem of the minimum cost flow of the spatio-temporal network model, and the method of minimizing the cost formation among the feasible distribution methods is obtained. [0032] <First Spatio-temporal Network Model> FIG. 3 is a diagram illustrating a first spatio-temporal network model of a distribution plan according to the first embodiment of the present invention. FIG. 3 is a diagram modeling the embodiment of delivery described in FIG. 2 into a space-time network. The vertical axis in FIG. 3 indicates the passage of time, and the horizontal axis indicates the locations of the bases. In the figure, the points in space-time are the bases representing each time. In the figure, the arrows connecting the two points indicate the movement in time and space of the delivery object, the delivery vehicle (delivery means), and the delivery person (person). Each arrow indicates the time required to move the source base and the destination. A solid line arrow indicates movement between the bases, and a double line arrow indicates a delivery item, a delivery vehicle, and a delivery person (moving time) staying at the same base. Each element attached to the row indicated by each arrow indicates the number of delivery items, delivery vehicles, and delivery personnel moved by the delivery indicated by the arrow. The number of delivery vehicles and the number of mobile delivery personnel. For example, in the case of a solid arrow 31, from the center to the parking lot A, there are 0 delivery items, 1 delivery car, and 2 delivery personnel, and the movement from time t = 0 to t = 1 is displayed. Double line arrow 32 is in parking lot A, there are 2 delivery items, 0 delivery cars, 0 delivery personnel, and it shows the situation of staying from time t = 0 to t = 1. In the case of a solid arrow 33, from the parking lot A to the parking lot B, there is one delivery, one delivery car, and two delivery personnel, and the movement from time t = 1 to t = 2 is displayed. The double-line arrow 34 is in parking lot A, with one delivery item, zero delivery vehicles, and zero delivery staff, showing the situation of staying from time t = 1 to t = 2. The number of items in parking lot A changed from two to one because the delivery staff boarded one of the two items and moved to parking lot B. The same goes for the other arrows. One arrow is called a branch. The set of branches in FIG. 3 corresponds to the delivery planner described in FIG. 2. When delivering goods, there may be time-related actions such as which parking lot is waiting for the delivery staff or the means of delivery. Most of the existing mathematical models related to the distribution plan are modeled based on the bases and the movement of the delivery vehicle between the bases as a branch. In this embodiment, a two-dimensional space-time network is used for modeling. As a result, not only the spatial movement between the bases, but also the movement of the vehicle or person involved in the time can be displayed. [0033] <Generation method of distribution plan based on first spatio-temporal network model> In this embodiment, the distribution plan is determined to meet the needs within a limited time as described in FIG. 2 and FIG. 3 A distribution plan that minimizes the cost of distribution. This problem can be formulated as the integer program problem shown below. [Objective function] Minimize the total cost of the items, means, and personnel spent on delivery [Restrictions] (1) The flow of each site is in compliance with the flow preservation rules. (2) The number of vehicles existing in the parking lot is not more than the parking space of the parking lot. (3) There must be a delivery person outside the departure point. (4) When moving, there must be a delivery person in the delivery or the delivery means. The number of people when moving is less than the total number of people who can ride on the delivery or the delivery means. [0034] In order to understand the above-mentioned integer planning problem, the delivery plan generation unit 12 generates the two-dimensional space-time information as illustrated in FIG. 3 based on the initial condition information accepted by the initial condition setting unit 11. The branches between the distribution points generate a collection of branch information such that the distribution items can be distributed to the points where the required number is set in a manner that meets the required number of each point within the delivery period. Then, the delivery plan generation unit 12 selects a set of branch information that minimizes the cost from a set of plural branch information. [0035] The mathematical model or program of the delivery plan provided so far is limited to the case where the delivered items are delivered on a transportation means such as a truck or a railway. As with the delivery of vehicles, even in the case of existing transportation, it is possible to solve the problem by adding restrictions, but it is conceivable that not only the restrictions become complicated, but also the number of combinations of means or routes will be exponentially functional The ground is increased, so it is not practical. According to this embodiment, when a distribution plan for a deliverable that can be transported on board is generated, the minimum cost flow problem as a spatio-temporal network model can be formalized to obtain the least costly distribution among the feasible distribution methods. plan. [0036] <Second Spatio-Temporal Network Model> In the second spatio-temporal network model, charts (point information and information indicating distribution personnel, items, and means of distribution) in the distribution base are added to the first space-time network model. Branch information for mobile). In this way, you can set the distribution base to a 0-1 integer planning problem. The 0-1 integer programming problem is the integer programming problem to limit the magnitude of the variables, which can constitute a tense relaxation problem. This makes it easy to put in an effective inequality (cut), and speeds up the calculation process (reduces the calculation time). [0037] When the distribution plan generating unit 12 uses the second spatiotemporal network model to generate a distribution plan, in addition to the spatiotemporal information described in the case of the first spatiotemporal network model, it also generates, for one distribution base: The point information in which the entrance and time of the distribution base are grouped, the point information in which the exit and time of the distribution base are grouped, and the point information in which the time is grouped for each of the items related to the distribution base. The delivery plan generation unit 12 sets the value of the flow rate of the delivery person and the delivery item between the point information related to the entrance and the point information related to the delivery item to 0 or 1. The delivery plan generation unit 12 sets the value of the flow rate of the delivery person and the delivery item between the point information related to the exit and the point information related to the delivery item to 0 or 1. [0038] Here, parameters related to the delivery plan preparer's input to the delivery plan device 10 will be described. The input parameters are the following items. That is, the set of departure bases (Depot), the set of delivery bases (W), the delivery deadline (dl), the time within one interval (h), the set of types of deliveries (P), and the set of types of delivery means ( D), the loading amount of the delivery means (cp), the cost of the delivery item cx (yen / minute), the cost of the delivery means cy (yen / minute), the cost of the delivery staff cz (yen / minute), the moving time Matrix M (for example, the moving time from the distribution site w1 to w2 by the distribution means d is set to m [d] [w1] [w2]), the supply quantity of each site is supply (for example, The supply quantity is set to supply [w, d]), and the required quantity of each distribution site is demanded (for example, the required quantity of d for the distribution site w is set to demand [w, d]). The initial condition setting unit 11 obtains these parameters and sets the initial conditions for the delivery plan. [0039] As an output item, the delivery plan generation unit 12 is a flow x ((v, s), (w, t)), a delivery means that distributes the goods flowing through the space-time network of the optimized delivery plan. The flow y ((v, s), (w, t)) and the flow z ((v, s), (w, t)) of the delivery person are output to the input / output unit 13. Let ((v, s), (w, t)) be a departure from the delivery site v at time s, and reach a delivery site w at time t. The output items are other costs that have been spent on distribution, etc. 4 is a first diagram illustrating a second spatiotemporal network model of a delivery plan according to the first embodiment of the present invention. The second space-time network will be described using FIG. 4. In the following, the place set is set to N, the time set is set to T, and the graph of the spatiotemporal network is G = (V, E). V is the set of points and E is the set of branches. The point set V is defined as follows. V = {(w, d, p, t) | w∈W, d∈ {0} ∪P, p∈S wd , T ∈ T} Here, S wd = {0,1} (d = 0), S wd = {0,1, ..., m} (d ≠ 0). d = 0 is the road representing the entrance to the delivery base. When d = 0, S wd Is a value of 0 or 1, S wd = 0 means entrance, S wd = 1 means exit. When d ≠ 0, d is the type of the delivery, S wd It is a value from 0 to m. m is the supply quantity -1 or the required quantity -1 of the distribution base w for the distribution item d. For example, if there are more than three deliveries a at the delivery site w (supply quantity = 3), S wd The values are 0, 1, and 2. For example, when there are less than 4 items (a required number = 4) at the distribution site w wd The values are 0, 1, 2, and 3. For a distribution base w, a point with d = 0 is also called a road, and a point with d ≠ 0 is called a port. The stop is a place where one delivery item d is placed. 4 is Depot = {0}, W = {1,2}, P = {a}, T = {0,1,2}, S 1a = {0} (1 supply quantity for delivery item a at delivery base 1), S 2a Spatio-temporal network in the case of {0} (1 required quantity for delivery item a at delivery site 2). Next, the branch set E will be described using FIG. 5. 5 is a second diagram illustrating a second spatio-temporal network model of a delivery plan according to the first embodiment of the present invention. Hereinafter, the branch set E is set to E = E. x ∪E y ∪E z . E x Is the branch collection of the distribution, E y Is a collection of branches of the distribution means, E z It is a branch collection of delivery personnel. Branch set E of the delivery x It is defined as follows. E wwx It is a collection of branches showing the movement between the bases of the delivery, E wx It is a collection of branches (waiting, etc.) of the road where the distribution goods stay at the distribution base, E wpx Is a collection of branches that represent a delivery moving from a road to an order, E pwx Is a collection of branches that represent a delivery moving from the stop to the road, E px A collection of branches where the distribution stays at the order. [0043] Branch Set E of the Distribution Means y It is defined as follows. E wwy A set of branches representing the movement between the bases of the delivery means, E wy It is a collection of branches (waiting, etc.) of the road where the distribution means stays at the distribution base, E wpy Is a collection of branches representing the delivery means moving from the road to the stop, E pwy A collection of branches that represent a delivery method moving from a stop to a road. [0044] Branch set E of delivery person z It is defined as follows. E wwz It is a set of branches representing the movement between the bases of the delivery person, E wz It is a collection of branches (waiting, etc.) of the road where the delivery person stays at the delivery base, E wpz Is a collection of branches representing delivery people moving from roads to stops, E pwz A collection of branches representing delivery people moving from a stop to a road. [0045] FIG. 5 shows an example of a branch set after the above definition. The diagonal solid arrow indicates that it corresponds to E wwx , E wwy , E wwz Branches of each collection. The double arrow in the vertical direction indicates that it corresponds to E wx , E wy , E wz Branches of each collection. The two-point line arrow in the horizontal direction indicates that it corresponds to E wpx , E wpy , E wpz Branches of each collection. A point-locked arrow in the oblique direction indicates that it corresponds to E pwx , E pwy , E pwz Branches of each collection. The dotted arrow in the vertical direction indicates that it corresponds to E px Branch of collection. In the second space-time network model, the distribution base is set to be an integer of 0-1. However, the branches of the two-point lock line arrow in the horizontal direction, the one-point lock line arrow in the oblique direction, and the dotted arrow in the vertical direction are branched with This 0-1 integer is related to a problem, and a branch is added in this embodiment. 6 is a third diagram illustrating a second spatio-temporal network model of a delivery plan according to the first embodiment of the present invention. The flow vector set for each branch will be described using FIG. 6. As shown in FIG. 6 (a), a flow vector is set in each branch e. [0047] [0048] Among this traffic vector, x [d, e] (d ∈ P, e ∈ E x ) Is the flow rate of the distribution, y [d, e] (d ∈ D, e ∈ E y ) Is the flow representing the distribution means, z [e] (e∈E z ) Is the flow of delivery personnel. Give a few examples. In the case of P = {a} and D = {car}, the flow vector becomes as follows. [0049] [0050] The branch e shown in FIG. 6 (b) indicates a movement of a, a delivery vehicle (vehicle), and a delivery person (person). When P = {a, b}, D = {car, motorcycle}, the flow vector becomes as follows. [0051] [0052] The branch e shown in FIG. 6 (c) indicates that a is one, b is one, a delivery car (vehicle) is one, a motorcycle is one, and a delivery person (person) is two people. . 7 is a fourth diagram illustrating a second spatio-temporal network model of a delivery plan according to the first embodiment of the present invention. FIG. 7 is a flow vector as follows, [0054] [0055] A spatio-temporal network model when one distribution object a is moved from the distribution base 1 to the distribution base 2. First, two delivery personnel (persons) and one delivery vehicle (car) will move from the Depot exit to delivery base 1 (solid arrow 91). At delivery base 1, one delivery person will move toward the storage location of delivery item a (stop 0) (two-point lock arrow 92). At stop 0 of delivery item a, delivery item a will exist until time 0 to 1 (dotted arrow 93). Next, one delivery person and one delivery item a1 will move toward the exit of the delivery base 1 (one-point lock arrow 94). Next, one delivery a, one delivery car, and two delivery staff will move from the exit of delivery base 1 to the entrance of delivery base 2 (solid arrow 95). Next, one delivery person and one delivery item a1 will move to stop 0 of delivery base 2 (two-point line arrow 96). Next, one delivery person will move from the stop 0 to the exit of the delivery base 2 (1 point line arrow 97). Next, two delivery personnel and one delivery vehicle will move from the exit of delivery base 2 to the entrance of Depot (solid arrow 98). At stop 0 of delivery base 2, delivery item a will exist until time 2 to 3 (dashed arrow 100). As shown in FIG. 7, in this embodiment, distribution points 1 and 2 are assigned to each distribution object a1, and the distribution points are assigned to the entrance and exit of the distribution point. Therefore, the value of each element of the flow vector in the distribution base 1 and the distribution base 2 becomes 0 or 1. In this way, setting the distribution base to a 0-1 integer planning problem can reduce the calculation time. 8 is a fifth diagram illustrating a second spatiotemporal network model of a delivery plan according to the first embodiment of the present invention. FIG. 8 illustrates a first spatiotemporal network model illustrated in FIG. 3 using a second spatiotemporal network model. In FIG. 8, the point set of each column of (1, 0, 0, 0), (1, a, 0, 0), and (1, a, 1, 0) which are more subdivided is shown in FIG. 3. The set of points shown in the column of parking lot A. The same applies to parking lot B and parking lot C. Each of the center, parking lot A to parking lot C is a set of points assigned to the entrance and exit. [0057] <Generation Method of Delivery Plan Based on Second Spatio-Temporal Network Model> The above explained the problem of setting the distribution base to a 0-1 integer plan as the speeding up of the processing of the second spatio-temporal network model. Countermeasures. Next, a method for generating a delivery plan will be described. As a delivery means, each of the case of delivery by a delivery vehicle and a bicycle (including the case of delivery by a delivery vehicle only), and the case of delivery by a truck (load delivery) will be described. The bicycle of the delivery method is a method in which a delivery person rides on a bicycle to move to a delivery location where there is supply, loads the bicycle in the remaining vehicle there, and the delivery person drives the remaining vehicle to move to a delivery location where needed. [0058] First, the objective function will be described. In FIG. 3, a case where the cost is minimized is described as an example. Here, the case of minimizing the moving time spent on delivery also includes a description. (In the case of delivery by a delivery vehicle and a bicycle) 1. The objective function in the case of minimizing the cost of delivery is to multiply the cost per time of each of the delivery, the delivery vehicle, and the delivery staff by the moving time and add it. 2. The objective function in the case of minimizing the moving time spent on delivery is to add the moving time of each of the delivery, the delivery car, and the delivery person. [0059] (In the case of delivery by truck) 1. The objective function in the case of minimizing the cost of delivery is to multiply the cost per time of each of the delivery truck and the delivery staff by the moving time and add it. 2. The objective function in the case of minimizing the moving time spent on delivery is to add the moving time of each of the delivery truck and the delivery person. [0060] Next, the restrictions will be described. (The case of delivery by delivery trucks and bicycles is the same as the case of delivery by trucks) 1. Flow rate preservation rules (1) The flow rate of the delivery items at the delivery start time is 1. At the time when the delivery is completed, the flow into the order with the required order will become 1. At other points, outgoing traffic is equal to incoming traffic. [0061] (2) The flow rate of the delivery car is the number of points of the delivery car at the time when the delivery car starts. At the time when the delivery is completed, the traffic entering the road where the delivery vehicle is present is the number of existing delivery vehicles. At other points, outgoing traffic is equal to incoming traffic. (3) The traffic of the delivery staff At the time of delivery start, the traffic going out of the road where the delivery staff is located is the number of people who become the delivery staff. At the time when the delivery is completed, the traffic entering the road where the delivery personnel are present is the number of people who become the delivery personnel. At other points, outgoing traffic is equal to incoming traffic. 2. Capacity limit The amount of goods and people moving in the distribution base is 1 or less. [0062] 3. Restrictions in Distribution Bases 1 (E wp (It is a collection of branches, distribution means, and people moving from the road to the stop.) (1) When the place where d goes is d, the delivery will not enter the stop from the road. (2) When the destination of e is the required point of d, the flow rate of the distribution goods and the distribution personnel shall be the same value (0 or 1). (3) In either case, the number of bicycles is less than the number of delivery staff. [0063] 4. Restriction in Distribution Base 2 (E pw (It is a collection of distribution goods, distribution means, and branches of people moving from the stop to the road.) (1) When the starting point of e is the supply point of d, the flow of the distribution goods and the distribution personnel is the same value (0 or 1). (2) When the starting point of e is the required point of d, the delivery will not exit the stop to the road. (3) In either case, the number of bicycles is less than the number of delivery staff. [0064] Hereinafter, the case of distribution by a delivery vehicle and a bicycle and the case of distribution by a truck will be described. (For delivery by delivery vehicle and bicycle) 5. Restrictions on branches when moving from a base to another base (E ww (It is a collection of branches that indicate the movement between a delivery, a delivery method, and a person's base.) (1) When e is a branch of a bicycle and the branch of the bicycle is moved by the bicycle and the delivery person, and the bicycle is loaded When the car is moving, it is restricted that there must be a delivery person in the car. The number of delivery personnel is less than the number of passengers that can be carried, and the number of bicycles that cannot be driven is less than the number of bicycles that can be loaded on the vehicle. (2) When e is a branch of the bicycle but is not a branch of the bicycle (moving by bicycle) The number of bicycles is the same as the number of people. [0065] 6. The restriction on branches staying in the distribution base is restricted to a certain person in the car. [0066] (In the case of delivery by truck) 5. The restriction on the branch when moving from a delivery site to another delivery site is limited to a truck that must be delivered by a delivery person. The number of delivery personnel is less than the number of passengers that can be carried. The total volume is below the loading capacity of the truck. [0067] 6. Restrictions on branches staying in distribution bases restrict the total volume of the distribution items to be less than the loading capacity of the truck. [0068] In order to reduce the calculation time, a restriction formula called a cut can be applied. In the integer programming problem, an inequality that meets the points of the feasible field is called an effective inequality. Integer planning problems are difficult to solve, so there are many linear relaxation problems that remove integer conditions first. A case where an effective inequality that reduces the solution space of a linear relaxation problem is added is called addition of cutting. With the addition of cutting, the linear relaxation solution is close to the integer optimum solution, so it has a powerful effect in speeding up the calculation. With the addition of cutting, the executable area is not cut, so the optimality of the solution is guaranteed. For example, it is added that the delivery vehicle is cut such that one or more vehicles arrive. Therefore, it is possible to exclude the unrealistic situation that the delivery vehicle is 3/4 units from the calculation object, and the calculation speed can be improved. A specific example of cutting is described in the specification of Japanese Patent Application No. 2016-051550 by the applicant of the present case. In the case of additional cutting, the integer planning problem that requires several hours or more without additional cutting can be solved in a few minutes. [0069] The distribution plan generation unit 12 generates a spatio-temporal network model that divides the distribution bases by roads (d = 0) and stops (d ≠ 0), and uses the above-mentioned restrictions and additional cuts to generate Calculate branch information. According to this embodiment, since the distribution base can be modeled as a 0-1 integer plan problem, in addition to using the first space-time network to generate the effect of the distribution plan, the distribution plan can be obtained. The effect of calculating the time required can be reduced. Furthermore, the calculation time can be greatly reduced by adding cutting. Thereby, for example, comparison of the distribution plan generated under various initial conditions enables selection of a lower-cost distribution plan, etc., and the convenience of the planner is improved. [0070] Next, an example of generating a delivery plan using the second space-time network will be described. FIG. 9 is a diagram showing an example of a delivery problem in the first embodiment of the present invention. FIG. 10 is a diagram showing an example of a delivery plan generated for a delivery problem. A point c0 (depot) in FIG. 9 is a starting point. The other points w1 to w9 are distribution bases. For example, at point w7, "d1: 2" indicates a state where there are more than two deliveries d1, and at point w5, "d2: -1" indicates a state where there are less than one deliverable d2. At 4 o'clock w2, "d1: -1, d2: 1" indicates a state where there is less than one delivery item d1 and there is one more delivery item d2. From the state where the distribution objects d1 to d3 shown in FIG. 9 are omnipresent, the problem of distributing the distribution objects d1 to d3 is considered, so that the distribution objects d1 to d3 can disappear in a state where the distribution points are insufficient. In the following, examples of distribution by a vehicle and a bicycle, and distribution by a truck are examples of a distribution plan generated by the distribution planning device 10. [0071] 1. Delivery by car and bicycle (1) Input: In the depot, there are one delivery car, three bicycles, and three delivery staff. Delivery period: 120 minutes. Cost of the delivery vehicle: 1.5 yen / minute. ・ Cost of delivery personnel: 17 yen / minute ・ Cost of d1, d2, d3: 1.5 yen / minute Number of people: 1 person, the number of bicycles: 0, ・ d2: 4 people, the number of bicycles: 1, d3: 2 people, the number of bicycles: (2) Minimize the cost of the objective function. [0072] If the above-mentioned restriction and cutting are added to this objective function and the calculation is performed in the delivery planning device 10, the next-level output result can be obtained. (3) Output: As shown in Fig. 10, there are two delivery vehicles, one bicycle, and two delivery personnel. They are divided into two delivery routes shown by S1 to S7 and two delivery routes shown by T1 to T9. Delivery. ・ Delivery cost: 2,768 yen. Required time: 60 minutes. In this way, you can obtain a delivery plan that minimizes costs within the conditions of the delivery method, delivery personnel, and delivery deadline set in the initial conditions. [0073] The distribution plan utilizing the first spatio-temporal network or the second spatio-temporal network by the distribution planning device 10 is also applicable to distribution, planning, and after-sales service tours of deliverables that can be transported. For example, in the after-sales service, after the procurement of parts necessary for the after-sales service, etc., the service must be provided to the customer or the number of customers. The distribution items can be used as parts for after-sales service, the main body of the distribution can be service personnel, and the distribution means can be used by the service personnel to transport vehicles or parts necessary for transportation, etc. For the installation place of products for customers or after-sales services, the above mathematical model is applied to solve the problem of integer planning. When a plurality of customers perform after-sales services, service personnel can calculate the cost or time of the tour. Minimal tour method (tour means, tour path). In the case of FIG. 2, for example, as long as a customer providing after-sales service is a parking lot A to a parking lot C (delivery base), a vehicle (delivery) is used as a part, and a car (delivery means) is used as a service means for a mobile worker, The delivery person (delivery subject) may be used as a service person. The situation of after-sales service is not only to tour customers, but also to perform inspections and repairs on customers. As long as the distribution planning devices 10, 10A, and 10B using the spatio-temporal network model are used, the patrol actions of service personnel can be modeled in consideration of such operation time. [0074] In addition to the above-mentioned examples, the present invention is also applicable to the delivery of items that are not transported on board. For example, there is a collection method called Milk-Run. Collective distribution refers to a method for raising a certain product manufacturer to obtain raw materials or parts used in the product from a plurality of suppliers, instead of moving the product to each supplier, but a method in which the manufacturer visits each supplier to purchase raw materials. When collecting goods by collecting goods, for example, by collecting goods by one truck, compared with the situation of delivery to each supplier, cost reduction, reduction of traffic jams around the factory, and environmental load can be achieved. Lighten. When calculating the optimal itinerary method for containerized delivery using the delivery planning device 10 of this embodiment, for example, if the factory of the orderer of a product manufacturer is used as a delivery base that requires car sharing, the delivery of raw materials or parts is required. As the factory's redundant distribution base, the manufacturer's factory can calculate the distribution plan by setting the same objective function, restriction conditions, etc. as in the case of "delivery by truck". Regarding the case of delivery by truck as described above, the restriction condition that "the total volume of the items to be delivered is equal to or less than the loading capacity of the truck" is changed to "(the weight of the raw material x the amount of the raw material + the weight of the part x the number of parts) as the loading amount of the truck Below ". When the collection time range of a certain supplier is specified, the information can be added by adding the information of the specified collection time range to the restriction. For example, when the arrival time to a certain supplier must be formed 30 minutes later (from the start of the collection), as long as the next restrictions are added, a collection plan that complies with the time limit of the supplier can be generated. After the arrival time of a certain supplier is ≧ 30 minutes [0075] Up to this point, the processing of generating the delivery plan by the delivery plan device 10 of this embodiment has been described. According to the method described above, the delivery planning device 10 can obtain a strict optimal solution to the delivery problem. However, depending on the above-mentioned method, once the scale of the problem becomes large (for example, there are 20 distribution bases and 20 vehicles are distributed), it may be difficult to solve in practical time. Then, the first area division unit 14 divides the distribution bases for each distribution area, and divides the assigned distribution problem into distribution problems for each divided area. Next, the area division process (first area division process) by the first area division unit 14 will be described. 11 is a first diagram illustrating a first region dividing process according to the first embodiment of the present invention. The left figure of FIG. 11 shows the locations of the distribution bases and departure bases in the area targeted for the distribution plan. In the figure, the dots indicate the delivery bases (w1 to w17), and the four corner points are the departure bases (c1 to c3). At the distribution bases w1 to w17, there is a need or surplus for distribution items, and at the departure bases c1 to c3, there are distribution cars or distribution personnel. The first area dividing unit 14 is a group that generates a correspondence between a nearby needful distribution site (required point) and a remaining distribution site (supply point), and further generates a group that gathers one or more need points and supply points. And a segmented area. The generation of a region by the first region dividing unit 14 is referred to as a first region dividing process. [0077] The right diagram of FIG. 11 shows a result of the first region division process performed by the first region division unit 14. The distribution sites w1 to w5 belong to the area j1, the distribution sites w6 to w9 belong to the area j2, and the distribution sites w10 to w17 belong to the area j3. The delivery plan generation unit 12 generates delivery plans for the divided regions j1 to j3 in the above-described manner, respectively. Areas j1 to j3 are small-scale distribution bases with less than 10 distribution bases, respectively. Therefore, the delivery plan generation unit 12 can use the above-mentioned spatio-temporal network model to generate delivery plans in a practical time. [0078] Next, the outline of the first region dividing process will be described using FIG. 11. First, the first area dividing unit 14 divides the distribution sites w1 to w17 into a demand site, a supply site, and a distribution site that is neither a demand site nor a supply site. Next, the first region dividing unit 14 corresponds to the need point and the supply point in a one-to-one correspondence. At this time, the first region dividing unit 14 associates those with a short distance (moving time) between the demand point and the supply point with each other. For example, at the delivery site w4 in FIG. 11, the delivery item d1 is redundant 1, and at the delivery site w5, the delivery item d1 is less than 1. At the distribution site w6, the distribution item d1 is excess 1, and at the distribution site w7, the distribution item d1 is less than 1. At the distribution site w8, the distribution item d2 is redundant 1, and at the distribution site w9, the distribution item d2 is less than 1. In this case, the first area dividing unit 14 matches the needs with the supply, and assigns a close distance between the distribution bases. That is, the first area dividing unit 14 associates the distribution site w4 with the distribution site w5 (as a group 1), associates the distribution site w6 with the distribution site w7 (as a group 2), and associates the distribution site w8 with the distribution Base w9 is attached (as group 3). The other need points and supply points are similarly attached. [0079] Next, the first region dividing unit 14 generates a region by aggregating a plurality of groups that are close to each other with respect to a group of corresponding demand points and supply points. In this case, if there is no other group at a short distance, one group may be used as one region. For example, in the example given above, the first area dividing unit 14 calculates the distance between the delivery site w4 of group 1 and the delivery site w6 of group 2. Then, if the calculated distance is smaller than a predetermined threshold, the groups 1 and 2 are classified into the same region. If the calculated distance is larger than the predetermined threshold, the groups 1 and 2 are determined as other regions. . For the calculation of the distance between groups, for example, the distance between groups 1 and 2, you can also calculate the distance between the distribution base w4 and the distribution base w7, or the distribution base w4 ~ the distribution base w6, and the distribution base w4 ~ The distances between the distribution sites w7, distribution sites w5 to distribution sites w6, and distribution sites w5 to distribution sites w7. The average of the calculated distances is taken as the distance between group 1 and group 2. Or, the maximum (or minimum) distance among the calculated distances may be used as the distance between group 1 and group 2. In the case of the example of FIG. 11, for example, the first region dividing unit 14 classifies group 2 and group 3 into the same region j2, and classifies group 1 into another region j1. The first area dividing unit 14 also performs the same processing on the other distribution sites, classifying the distribution sites w1 to w17 for each region, and generating the regions j1 to j3 shown in FIG. 11. [0080] If the area is generated by the first area division processing, the delivery plan generation unit 12 can also supply the number of deliveries to each of the delivery bases in each area for each of the areas j1 to j3. The distribution problem that requires initial quantity, such as quantity and quantity, uses the first spatio-temporal network model or the second spatio-temporal network model to generate the distribution plan. However, even if the calculation using the spatio-temporal network model is not based on the initial state, It is also possible to use the correspondence between the need point and the supply point during the first region division process as branch information. That is, the distribution plan generation unit 12 generates branch information from the corresponding need point to the supply point, and by connecting these, it is possible to generate a distribution plan that meets all needs. However, the delivery route connecting only the closest delivery sites is too limited, and the entire delivery plan moving between plural sites may be far away from the optimized state. Therefore, the first area dividing unit 14 performs a process of adding a delivery route that may be selected when the delivery plan generation unit 12 generates branch information. Then, the delivery plan generation unit 12 selects an appropriate delivery route from among all delivery routes that have been added to the delivery routes that may be added to the delivery route between the nearest delivery bases that meet the needs and supply. To generate branch information and generate distribution plans for each region. In FIG. 11, the demand point and the supply point are described as the distribution bases, but they may be respectively a demanded stop and a supplied stop. [0081] Next, the first region division processing will be described in detail. FIG. 12 is a second diagram illustrating a first region dividing process according to the first embodiment of the present invention. The processing method (algorithm) of the first region division processing in this embodiment will be described below. The first region dividing unit 14 performs each process using the following program. 1. First, each stop of each distribution base (in the case of the first spatio-temporal network model, the distribution base) is divided into a supply point and a demand point, and a set A of supply points and a set B of demand points are generated. Set to V 1 = A∪B. 2. Secondly, at V 1 Add new points s and t and set V = V 1 ∪ {s, t}. 3. From A to B, make a delivery route e 11 ~ e 19 For each delivery route, a cost function c (e) of the moving time when the delivery is performed according to the route shown by the delivery route is defined. 4. Create a delivery route from s to A and B to t, and set these costs to zero. Let E be the set of delivery routes from s to A and B to t 2 , Will E 1 With E 2 And the set is set to E. 5. Two graphs G = (V, E) are constructed by the processing so far. 6. Calculate the minimum component maximum match of G, that is, the path from s to t with the minimum cost. More specifically, among the paths from s to t, the number of distribution paths from each supply point included in set A is 1, and the number of distribution paths to each required point included in set B is 1. Next, the distribution route (main problem) where the total cost of the distribution route connecting each supply point of s and set A and each required point of set B and t is minimized is calculated. According to 4., the cost from s to each supply point in set A and the cost from each need point in set B to t are 0. Therefore, the supply point a1 to supply point a3 and the demand point when the cost is minimized can be obtained. b1 ~ Need to attach the corresponding method of point b3. Here, the cost is a function of the moving time, so a one-to-one match between the closest supply point and the required point can be obtained. In the example of FIG. 12, for example, the delivery route e connecting a1 and b1 11 To connect the delivery route e of a2 and b3 16 , Connecting the delivery route e of a3 and b2 18 The combination is the distribution path that minimizes the total cost. In this case, a1 and b1, a2 and b3, and a3 and b2 are attached one-to-one. 7. Secondly, all the stops are divided by area so that the corresponding two stops are included in the same area. At this time, if the travel time between the corresponding two stops is less than a predetermined value, the area is classified into one area. In the example of FIG. 12, for example, a corresponding area a1 and b1, a2 and b3, a3 and b2, a1 and b1 as one area (j4), and a2 and b3, a3 and b2 as 1 The region (j5) is classified. [0082] 8. Next, two graphs created by the procedures of 1. to 5. were made again to generate the relative problem of 6. (relative problems can be generated mathematically). For the branch e = (u, v), if the optimal solution of the main problem X * (e) is 1, then the case where the optimal solution of the relative problem is set to Y is c (e) -Y * (u) -Y * (v) = 0 (complementary slackness), c ^ (e) = c (e) -Y * (u) -Y * (v) to define c ^ (e), and make c ^ (e) have a width according to 0 ≦ c ^ (e) ≦ ε (ε is a predetermined fixed number). This condition is not only a case where c ^ (e) = 0, but c ^ (e) becomes ε or less, it also means a candidate for the delivery route. That is, a solution to the holding width can be obtained even in a case where the main problem is not only the cost formation is the smallest. With the relaxation of the conditions for this solution, in the example of FIG. 12, for example, the candidate e of the delivery route connecting a1 and b1 can be obtained again. 19 . [0083] The above first region division processing is completed. Once the first region division processing is completed, the distribution plan generation unit 12 generates a distribution plan for each divided region. At this time, the delivery plan generation unit 12 generates a delivery plan that meets the conditions by using the candidates of the delivery route obtained in the first area division process. Specifically, in addition to the above "1. Traffic preservation rules" to "6. Restrictions on branches staying in distribution bases", restrictions are added to the use of the distribution route obtained in the first area division process. Alternate (e 11 , E 16 , E 18 , E 19 ) To calculate the set of branch information. [0084] Next, a flow of the process of generating a delivery plan according to this embodiment will be described. FIG. 13 is a flowchart showing an example of a delivery plan generation process according to the first embodiment of the present invention. First, a delivery person who performs a delivery plan inputs initial conditions of the delivery plan to the delivery plan device 10. The input / output unit 13 receives the input, and outputs the received information to the initial condition setting unit 11. The initial condition setting unit 11 acquires information on initial conditions input by the delivery person (step S11). The initial condition setting unit 11 sets the acquired initial condition information to the initial conditions of the delivery plan. The initial conditions are, for example, the supply quantity (excess quantity), required quantity (insufficient quantity) of the distribution items at each site, the number of delivery vehicles at the departure site, the number of delivery personnel, the movement time between the sites, and delivery. Deadline, etc. Next, the first region division unit 14 performs the first region division process by using the supply quantity and required quantity of the distribution items of each distribution base (or stop) included in the information of the initial conditions (step S12). The first region division processing is described using FIG. 11 and FIG. 12. [0085] Next, the distribution plan generation unit 12 generates the regions obtained in each of the first region division processing, and generates them in a manner consistent with the above-mentioned restrictions on the spatio-temporal network model illustrated in FIG. 3 or FIG. 8. The branch information generates a set of branch information that meets conditions such as delivery deadlines (step S13). Specifically, the delivery plan generation unit 12 generates information for the number of delivery items, the number of delivery vehicles, and the number of delivery personnel for the candidates of the delivery route obtained in the first area division process, and meets each restriction condition ( "1. Traffic retention rules" ~ "6. Restrictions on branches staying in distribution bases"). The delivery plan generating unit 12 generates branch information that is generated in combination, and generates a plurality of sets of branch information that indicate the required number of units that meet each site by the delivery deadline. [0086] Next, the delivery plan generation unit 12 calculates the total cost for each region and for each set of branch information generated (step S14). For example, for each delivery vehicle, delivery person, and delivery item, the unit cost incurred per unit time is recorded in advance in the memory section 15, and the delivery plan generation section 12 multiplies the unit cost of the delivery cart, delivery person, and delivery item. The time shown in each branch is used to calculate the cost of each branch (the total cost of the delivery car, the delivery staff, and the delivery). The delivery plan generation unit 12 calculates the total cost of each branch included in the set of branch information and adds them up. The total cost is the cost for a set of branch information. The delivery plan generation unit 12 calculates a cost for each of the sets of all branch information for each area. [0087] Next, the delivery plan generation unit 12 compares the calculated costs for each set after calculation for each area, and selects the set of branch information whose total cost is the smallest (step S15). The selected branch information set indicates the movement of the delivery item, the delivery method, and the delivery person over time based on the starting point or the state of each delivery point indicated by the initial conditions (Figs. 3 and 8). Therefore, as long as the distribution is performed based on the collection of branch information, distribution corresponding to the needs of users becomes possible. That is, the set of branch information is a distribution plan regarding the obtained 1 area after division. Once the delivery plan generation unit 12 finishes generating delivery plans for each area, delivery plans for all delivery bases that are given as initial conditions are generated. [0088] According to this embodiment, by dividing the entire distribution bases given initial conditions into a set (area) of distribution bases at a short distance, the scale of the distribution problem can be reduced, and the number of distribution sites in each area can be reduced. The calculation amount of the delivery plan generation process. The candidates for the delivery route are calculated when the area is divided, and the delivery route is selected from these candidates to generate branch information. Therefore, the amount of calculation can be further reduced. With this, even if there are a large number of items to be distributed or distribution bases, and a large-scale distribution problem occurs, a distribution plan can be generated in a practical time (for example, 10 minutes). In step S13, the delivery plan generation unit 12 may generate branch information without using the candidate of the delivery route, and generate a delivery plan. Areas can also be added to the cost of the area's delivery plan to restructure the area. For example, there may be a pair of areas where the difference in delivery costs deviates significantly. By expanding the area where delivery is completed as soon as possible and reducing the area where delivery is completed late, the overall cost may be reduced. [Second Embodiment] Next, a distribution planning system of another method (second embodiment) for generating a distribution plan at a practical time for a large-scale distribution problem will be described with reference to FIGS. 14 to 18. In the first embodiment, a small-scale area focusing on the need points and supply points that are relatively close together is created by combining a pair of demand points and supply points. In the second embodiment, the area division processing is performed centering on the starting point, and a distribution plan is generated in each divided area. The region division process of the second embodiment is referred to as a second region division process. 14 is a functional block diagram showing an example of a delivery planning system according to a second embodiment of the present invention. Among the configurations of the second embodiment of the present invention, the same reference numerals are assigned to the functional portions of the delivery planning device 10 constituting the first embodiment of the present invention, and descriptions thereof are omitted. The delivery planning device 10A of the second embodiment includes a second area dividing unit 16 instead of the first area dividing unit 14 of the configuration of the first embodiment. The second area dividing unit 16 obtains a plurality of unit route information indicating a preset delivery route and a cost when the delivery route is delivered. The preset delivery route is a part of the delivery bases from the departure base. Delivery and return to the original starting point. The second area dividing unit 16 selects a combination in which the number of distribution bases included in the combination is within a predetermined number from among a plurality of combinations of unit path information, and the cost is minimized. The set of departure bases and distribution bases included in the combination of the unit route information is a divided area. The second area dividing unit 16 is implemented by a CPU included in the delivery planning device 10A reading a program from the memory unit 15 and executing it. [0091] FIG. 15 is a first diagram illustrating a second region division process of a delivery problem according to a second embodiment of the present invention. In FIG. 15, the dots indicate the delivery base w1 to the delivery base w17, and the four-pointed corners represent the departure base c1 to the departure base c3. In this embodiment, firstly, all conceivable patterns of demand / supply are enumerated, and a plurality of simple delivery routes that meet the needs of each pattern and supply are created for each starting point. Here, there are a sufficient number of delivery vehicles (trucks) or delivery personnel at the starting point c1 to starting point c3. The delivery points w1, w3, w6, w8, and w10 are the supply points, and the delivery points w2, w5, w7, and w9, w11 is the required point. The types of items to be delivered are the same. In this case, the so-called simple delivery route that meets the needs of each departure site is, for example, departure from the departure site c1 to the delivery site w1 (R1), taking the delivery at the delivery site w1, and transporting the delivery towards the delivery site w2 ( R2), once the delivery is completed, return to the delivery route of the departure base c1 (R3) (as the delivery route 1). Similarly, the route from the starting point c1 to the starting point c1 via the delivery point w3 and the delivery point w5 (as the delivery path 2), and the return path from the starting point c1 to the starting point c1 via the delivery point w6 and the delivery point w7 (as Delivery route 3), from the starting point c2 to the starting point c3 via the delivery point w8 and the delivery point w9 to the starting point c2 (as the delivery path 4), and from the starting point c3 to the starting point c3 via the delivery point w10 and the delivery point w11. Delivery route (as delivery route 5), etc. These simple paths are created in advance and recorded in the memory unit 15. Although not shown, for example, the following paths are also recorded in the memory unit 15 in advance. From the starting point c1 to the delivery path of the starting point c1 via the delivery point w1 and the delivery point w5, from the starting point c1 to the starting point c1 via the delivery point w1 and the delivery point w7, and from the starting point c1 to the delivery point w3. And delivery point w2 to return to the starting point c1, from the starting point c1 to the starting point c1 via the delivery point w10 and the delivery point w11, to the starting point c1 to the starting point c1 via the delivery point w1 and the delivery point w2. The delivery route of c2 is a delivery route from the starting location c3 to the starting location c3 via the delivery location w1 and the delivery location w2. [0092] The so-called simple delivery route is not a single-finger delivery route that returns to the original departure point via one supply point and one need point (a route that returns to the original departure point by traversing two delivery points) It is also possible to start from the starting point c1, take 2 items at the delivery point w1, and deliver each item to the delivery point w2 and the delivery point w4, and return to the delivery path of the departure point c1 (the example is 3 delivery points) ). Or, it is also possible to start from the starting point c1, take 1 delivery item at the delivery point w1, and deliver it to the delivery point w2, and then take 1 delivery item at the delivery point w3, reach the delivery point w4, and return to the delivery path of the departure point c1 (Example of four distribution bases). [0093] FIG. 16 is a second diagram illustrating a second region division process of a delivery problem according to a second embodiment of the present invention. As shown in FIG. 16, the storage unit 15 stores a plurality of simple delivery routes prepared in advance. Correspondence is given to a simple delivery route, and the cost at the time of delivery by this delivery route is recorded. Cost is, for example, assigned as a function of travel time. The more information about the simple distribution route and cost recorded in advance, the more accurate the distribution plan (close to the strict optimal solution) can be generated. Information including the simple delivery route illustrated in FIG. 16 and the cost corresponding to the delivery route is referred to as unit route information. [0094] FIG. 17 is a third diagram illustrating a second region division process of a delivery problem according to a second embodiment of the present invention. Next, the second region division processing by the second region division unit 16 will be described with reference to FIGS. 15 to 17. The premise is that the unit path information illustrated in FIG. 16 is recorded in the memory unit 15. The initial requirements for delivery requirements (the number of delivery locations, the number of supplies, the number of delivery vehicles at the departure location, the number of delivery personnel, etc.) are given. 1. First, the second area division unit 16 reads out from the memory unit 15 the unit route information that includes a part of the delivery route among the delivery requests (required) to which the initial conditions are given. 2. Secondly, the second area dividing unit 16 is a delivery route included in the unit route information read out in combination, and creates a route that meets all delivery requirements as a tentative solution. Here, as a method of combining the simple distribution routes recorded in advance, and finding all the combinations that meet all the requirements and the cheapest cost, a mathematical method called a set partitioning method can be used. In this case, Once the number of simple delivery routes is expanded, the optimization problem of the combination may not be solved in a practical time. For this reason, the second region dividing unit 16 is a simple delivery route that is stored in the storage unit 15 by using a small number of delivery routes to generate an initial solution. A mathematical method called a column generation method is used to add simple To find the optimal solution. The few simple delivery routes used to generate the initial solution can be selected by any method. In the initial solution generation, a commonly provided solver can be used. At this time, a limit is placed on the number of distribution bases supported by one departure base (for example, including a demand point and a supply point, within 6 bases, etc.). Here, the reason for setting a limit (upper limit) on the number of distribution sites is to reduce the amount of calculation and speed up the processing. For example, the number of restricted distribution bases may be actually calculated, and the number of distribution bases may be set as an upper limit in a case where it can be solved within a practical time. The initial solution can be obtained, for example, as shown in FIG. 15 (delivery route 1 to delivery route 5). [0095] Secondly, the second region dividing unit 16 selects one or a plurality of delivery routes from the unselected simple delivery routes by a column generation method (a well-known mathematical method), and calculates that the replacement has been performed. Reduce costs when choosing a simple delivery route and a selected simple delivery route. Cost reduction refers to the total of the cost (cost column in FIG. 16) recorded corresponding to the simple delivery route selected as a re-solution by replacement, and the original simple delivery route corresponding to the original delivery route selected before replacement is subtracted. The total value of the recorded costs. [0096] 4. If the reduced cost after the calculation in 3. is a negative value (less expensive after replacement), the existing full delivery route is updated with the simple delivery route selected in 3. a part of. For example, regarding the delivery to the delivery site w7, in the initial solution shown in FIG. 15, although the delivery route 3 is selected, the second area dividing unit 16 replaces this delivery route 3 and calculates to replace the delivery route c2 via the delivery. The cost is reduced when the route w6 and the delivery site w7 return to the route (set to the delivery route 6) to the departure site c2. According to FIG. 16, the cost of the distribution path 3 is 2500, and the cost of the distribution path 6 is 1500, so the reduction cost is -1000. Therefore, the second area dividing unit 16 updates the delivery route 3 with the delivery route 6. The combination of the updated simple delivery routes is shown in FIG. 17. In the case of calculating a reduction in cost, the second area dividing unit 16 selects a delivery route so that the number of sites supported by one departure site is within the limit. [0097] This example is an example in which a simple delivery route is moved from the burden range of the departure base c1 to the burden range of the departure base c3, but the update of the delivery route is not limited to this example. For example, in the state of FIG. 15, the combination of the delivery route 1 and the delivery route 2 in the route carried by the departure base c1 may be updated to return from the departure base c1 to the departure base c1 via the delivery base w3 and the delivery base w2. A method of combining a route from the departure base c1 to the departure base c1 via the delivery base w1 and the delivery base w5. Or, there may be two target items at the delivery point w1, and the combination of the delivery path 1 and the delivery path 2 may be updated from the starting point c1 to the delivery point w1, the delivery point w2, the delivery point w3, and the delivery point w5. Method for returning the delivery route to the departure base c1. [0098] 5. The second region dividing unit 16 repeats the processes from 3. to 4., and ends the second region dividing process at a point in time when a path that can reduce costs disappears. Once the second area division process is completed, the distribution bases within the limit (for example, 6 bases) will be associated with each starting base. The set of the associated plural distribution bases and departure bases (for example, each of the area j6 to the area j8) is an area obtained by the second area division processing. [0099] Next, the flow of the generation process of the delivery plan according to this embodiment will be described. 18 is a flowchart showing an example of a delivery plan generation process according to the second embodiment of the present invention. The same processing as in FIG. 13 will be briefly described. First, the initial condition setting unit 11 acquires information on initial conditions input by a delivery person or the like (step S11). Next, the second area division unit 16 performs the second area division using the supply quantity, the required quantity, the number of delivery personnel at the departure location, and the type and number of delivery vehicles included in the information of the initial conditions. Processing (step S121). The second region division processing is as described with reference to FIGS. 15 to 17. [0100] Next, the delivery plan generation unit 12 is a region obtained in the second area division process (departure bases obtained in the second area division process and a plurality of associated delivery bases associated with the departure bases). Set), on the spatio-temporal network model exemplified in FIG. 3 or FIG. 8, branch information is generated in a manner that meets the above-mentioned restrictions, and a plurality of sets of branch information that meet the conditions such as the delivery deadline (step S131) . In the example of FIG. 17, the delivery plan generation unit 12 generates a set of branch information for each of the areas j6 to j8. The delivery plan generation unit 12 may generate branch information regardless of a simple delivery path and a combination thereof used in the second area division process, or may use a simple delivery path and a combination thereof to generate branch information. [0101] Next, the delivery plan generation unit 12 calculates the total cost for each set of branch information generated (step S14). In the example of FIG. 17, the delivery plan generation unit 12 calculates the total cost of each set of branch information generated for each of the regions j6 to j8. Next, the delivery plan generation unit 12 compares the calculated total cost and selects a set of branch information whose total cost is the smallest (step S15). In the example of FIG. 17, the delivery plan generation unit 12 selects a set of branch information having the smallest total cost for each of the areas j6 to j8. The selected branch information set is a distribution plan showing each area. That is, once the distribution plan generation unit 12 finishes generating the distribution plan for each area, the distribution plan for all the distribution bases before the division is generated. [0102] According to this embodiment, all the distribution bases that are needed or supplied in the initial condition can be associated with the departure bases one by one, so that the distribution areas can be divided into distribution areas for each departure base. By dividing the distribution area into small-scale distribution areas, the distribution plan generation process is performed for each of these distribution areas, instead of generating a distribution plan by targeting all the necessary distribution bases given in the initial conditions. In this case, it is possible to reduce the amount of calculations necessary to generate a delivery plan. With this, even when there are a large number of items to be distributed or distribution bases, and when a large-scale distribution problem arises, a distribution plan can be prepared in a practical time (for example, 10 minutes). [0103] <Third Embodiment> A distribution planning system related to another method (third embodiment) for generating a distribution plan at a practical time for a large-scale distribution problem will be described with reference to FIGS. 19 to 22. In the first and second embodiments, the distribution problem is spatially divided (area division) according to the needs and supply information of each distribution base included in the initial conditions, thereby dividing into small-scale distribution problems. A method to solve the problem of small-scale distribution and achieve high-speed processing. In this third embodiment, the distribution problem is reduced by time division based on the information about the time limit for distribution of the distribution items included in the initial conditions, and a distribution plan is generated for each time after the division. 19 is a functional block diagram showing an example of a delivery planning system according to a third embodiment of the present invention. Among the configurations of the third embodiment of the present invention, the same reference numerals are assigned to the functional portions of the delivery planning device 10B constituting the first embodiment of the present invention, and descriptions thereof are omitted. The delivery planning device 10B according to the third embodiment includes a time division unit 17 instead of the first area division unit 14 having the configuration of the first embodiment. The delivery plan device 10B includes a delivery plan generation unit 12a instead of the delivery plan generation unit 12. The time division unit 17 divides the delivery restriction time given in the initial condition into a plurality of times, and thereby divides the delivery problem into a small-scale delivery problem for each divided delivery time. Each time formed by the time division unit 17 is referred to as a section. The delivery plan generating unit 12 a is a segment formed by the time division unit 17, and solves the delivery problem in which different objective functions or restrictions are set to generate a delivery plan. For example, the delivery plan generation unit 12a generates the delivery status of the delivery items (the progress status of delivery at the end of the previous section) from the first time of each divided section, and starts the delivery in this section. It may be delivered to a distribution plan such as a required distribution base. The last interval among the divisions formed by the time division unit 17 is all the distribution items that will be delivered in the last interval to the necessary distribution bases indicated by the initial conditions, all of which will become undelivered distribution bases. Delivery plan. The time division unit 17 and the delivery plan generation unit 12a are implemented by reading a program from the memory unit 15 and executing it by a CPU included in the delivery plan apparatus 10B. 20 is a first diagram illustrating a time division process of a delivery problem according to a third embodiment of the present invention. The left diagram of FIG. 20 shows the initial state of a certain delivery problem. There are two extra items d1 at the distribution site w1, and three extra items d1 at the distribution site w2. There are less than four items d1 at the distribution site w3, and less than one item d1 at the distribution site w4. It can be considered that from this initial state, the delivery of the delivery d1 becomes a requirement that meets the needs of the delivery site w3 and the delivery site w4 within 120 minutes. In the first embodiment and the second embodiment, the distribution base w1 to the distribution base w4 are divided for each area. In the present embodiment, the delivery time limit of 120 minutes is assigned as the initial condition. Specifically, the time division unit 17 divides the delivery restriction time 120 minutes into plural times (intervals). For example, the time division unit 17 divides the delivery restriction time 120 minutes into two sections of the first half 60 minutes and the second half 60 minutes. The time length or the number of intervals in one interval formed by the time division unit 17 may be arbitrary. For example, the time division unit 17 may divide 120 minutes into 90 minutes and 30 minutes, or classify them into three intervals of 40 minutes. The time division unit 17 may be a time period shorter than the delivery restriction time given in the initial condition by a predetermined time as the first interval after division and the remaining time as the last interval. [0106] The right diagram of FIG. 20 shows that the time division unit 17 divides the delivery restriction time 120 minutes into two intervals of 60 minutes each. Once the time division unit 17 divides the delivery time limit, the delivery plan generation unit 12a generates a delivery plan for the first interval formed by the division. At this time, the distribution plan generation unit 12a does not aim to meet all the requirements, but generates a distribution plan such that it meets as many requirements as possible at the end of one destination interval. The goal is to meet all the requirements. In this case, the distribution item d1 is distributed in 60 minutes, and the required number of distribution sites w3 and w4 can be met. The so-called distribution plan that meets as many requirements as possible, for example, 60 minutes after the start of distribution, the number of items d1 at the distribution point w3 is less than 3, and the number of items d1 at the distribution point w4 is 0. When there are less than two delivery plans and two delivery items d1 at the delivery site w3, when the delivery plan with less than zero delivery items d1 at the delivery site w4 is generated, it means the latter delivery plan. [0107] Next, the objective function and the limitation for the first interval setting will be described. The purpose function described next is more generally the case where the time division unit 17 divides the delivery restriction time into N, except for the last interval (the Nth interval), for all intervals (along the flow of time, from the first 1 interval to N-the first interval) the objective function used. [0108] (Objective Function) Minimize the following sums (1) to (7). (1) The moving cost between sites can suppress the moving cost between sites. (2) The time when the supply is in accordance with the demand When the time when the supply in accordance with the demand is promoted is as fast as possible, the number of solution options will be reduced (although it is the case that the same delivery can be made even at the later time, by only solving the first delivery , Can reduce the choices, and reduce the amount of calculations). (3) Orders that are supplied when the demand meets the requirements. When the orders with smaller numbers are promoted to supply, the number of solution options will be reduced (although there are no problems even if the orders are delivered to larger numbers. (By choosing the order with the smallest number, you can reduce the choice of solution and reduce the amount of calculation). (4) The number of users and distribution means in the distribution base. The number of non-users in the following sections (g [w]) promotes the last moment of the section being calculated, so that the next section is not used. The extra people and the delivery means for the delivery will move to the starting point. For example, at the last moment of the first section, when there is no delivery means that can be moved by a bicycle, in the second section, because the bicycle is not used for delivery, it is moved to the starting point. (5) In the case of meeting the needs of the demand points and the supply of the supply points, the number of people and distribution means at the distribution bases urges that no people or distribution means remain at the distribution bases that meet the needs. In this embodiment, each time zone is divided (although it inherits the delivery status of the previous zone), but the delivery plan is calculated independently. Therefore, there may be redundant delivery staff or delivery methods that are not used in the following zones. Remains at the distribution base. Then, (4) and (5) are added so that excess distribution personnel and the like do not remain at the distribution base. (6) The number of distribution items left at the supply point, the number of distribution items that are insufficient at the need point (7) The number of distribution points that are insufficient for the distribution point By (6), (7), the At the last moment, try to meet as many requirements as possible. The objective function is expressed as a case where the sum of the functions corresponding to each of the items (1) to (7) is minimized. However, each of the items of the objective function (function of each item) may be multiplied by an arbitrary coefficient. To weight. [0109] Next, restrictions will be described. 1. Flow saving rule (I) Cases other than the last one among the divided sections (1) The flow rate of the delivered goods is at the start time of the section, and the flow rate from the stop where there is supply is 1 , The flow from the stop where there is no supply is 0. At other points, it is not the case at the end of the interval, the outgoing traffic is equal to the incoming traffic. (2) The flow rate of the delivery vehicles is the number of delivery vehicles existing at the base at the start time of the section. At other points, it is not the case at the end of the interval, the outgoing traffic is equal to the incoming traffic. (3) The flow of delivery personnel is at the beginning of the interval. The flow of traffic out of the road is the number of delivery personnel who exist at the base. At other points, it is not the case at the end of the interval, the outgoing traffic is equal to the incoming traffic. [0110] (II) Case of the last section among the divided sections (1) The flow rate of the deliverables at the start time of the section, the flow rate from the stop where the supply exists is 1, and the supply never exists The outbound traffic at the stops becomes 0. At the end of the interval, the flow rate to the order where there is a need is 1 and the flow rate to the order where there is no need is 0. At other points, outgoing traffic is equal to incoming traffic. (2) The flow rate of the delivery vehicles is the number of delivery vehicles that exist at the base when the delivery start time of the section is reached. At the end of the interval, the amount of traffic entering from the road is the number of delivery vehicles needed at the base. At other points, outgoing traffic is equal to incoming traffic. (3) The flow rate of the delivery staff is the number of delivery staff at the base when the delivery start time of the section is reached. At the end of the interval, the volume of traffic entering from the road is the number of delivery staff who need it at that location. At other points, outgoing traffic is equal to incoming traffic. [0111] 2. The amount of movement of the items and people in the capacity-restricted distribution base is 1 or less. [0112] 3. Restrictions in Distribution Bases 1 (E wp (It is a collection of branches, distribution means, and people moving from the road to the stop.) (1) When the place where d goes is d, the delivery does not enter the stop from the road. (2) When the destination of e is the required point of d, the flow rate of the distribution goods and the distribution personnel shall be the same value (0 or 1). (3) In either case, the number of bicycles is less than the number of delivery staff. [0113] 4. Restriction in Distribution Base 2 (E pw (It is a collection of distribution goods, distribution means, and branches of people moving from the stop to the road.) (1) When the starting point of e is the supply point of d, the flow of the distribution goods and the distribution personnel is the same value (0 or 1). (2) When the starting point of e is the required point of d, the delivery does not go out of the stop to the road. (3) In either case, the number of bicycles is less than the number of delivery staff. [0114] 5. Restriction on the variables of the penalty at the last moment of the section For an arbitrary road w, when the number of people or delivery means not used in the next section is set to g [w], put Enter the limit of g [w] ≦ f [w]. f [w] is an arbitrary number. By adjusting the value of f [w], it is possible to change the number of persons and delivery means that can be allowed to remain in the last situation of the interval. [0115] 6. Restrictions on branching from road to road (1) When branching from road to road is a branch of a car (possibility of carrying a bicycle) It is restricted that there must be a delivery person in the delivery vehicle. The number of passengers is less than the number of passengers, and the number of bicycles that cannot be driven is less than the number of bicycles that can be mounted on the bicycle. (2) The branch from the road to the road is a branch of a bicycle and is a branch on foot. When it is not a branch of a bicycle (moving by bicycle or walking), the sum of the number of bicycles and the number of people moving on foot is equivalent to moving the branch. The number of delivery staff. (3) The branch from the road to the road is a branch of a bicycle, but is not a branch of a car or a branch on foot (moved by a bicycle). The number of bicycles is equal to the number of delivery personnel who move the branch. (4) The branch from the road to the road is a branch on foot, but it is not a branch of a bicycle or a branch of a bicycle (moving on foot). The number of people moving on foot is equal to the number of delivery personnel moving the branch. [0116] 7. The restriction on the branches staying in the distribution base is limited to a certain person in the vehicle, the bicycle cannot be stopped on the road, and the total volume of the distribution is less than the loading capacity of the truck. [0117] The delivery plan generation unit 12a uses the first or second spatiotemporal network to solve the delivery problem (integer plan problem) that is formalized under such objective functions or restrictions. In actual calculations, cutting can also be added to achieve higher speed. An example of a result of the delivery plan generation unit 12a generating a delivery plan for the first interval is shown in the right diagram of FIG. 20. According to this plan, 60 minutes after the start of distribution, there is more than one distribution item d1 at distribution point w1 and distribution point w2, and there are less than two distribution items d1 at distribution point w3 and at distribution point w4. The deficiency of d1 is eliminated. [0118] The advantages of the method of calculating by dividing the time in this way can be regarded as the second point. First, by setting the delivery restriction time from 120 minutes to 60 minutes, the number of parameters necessary for calculation can be reduced, and the amount of calculation can be reduced. In FIG. 20, for convenience of description, an example is shown in which the number of distribution sites and the number of items are small. However, when calculating the distribution of 20 or more distribution items to 20 distribution points within 120 minutes, for example, it can be seen that The variable is 41000 and even limited to 61000. In contrast, when dividing the time in the first half of 60 minutes to produce the above-mentioned distribution plan that meets as many requirements as possible, for example, the number of variables can be reduced to 14,000 and the limited number can be reduced to 18,000. By reducing the number of parameters in this way, the amount of calculation can be reduced and the processing speed can be increased. Next, a description will be given of the process of generating a delivery plan for the second 60 minutes. 21 is a second diagram illustrating a time division process of a delivery problem according to a third embodiment of the present invention. FIG. 21 shows the generation process of the delivery plan using the second half of the 60 minutes after the division. Sort out the required quantity and supply quantity of each distribution base at the start time point of the second half of 60 minutes. At the start point of the second half of the time, there is more than one delivery item d1 at the delivery point w1 and the delivery point w2, and at delivery point w3, there are less than two delivery items d1. The delivery plan generation unit 12a must use the latter half of the 60 minutes to generate the delivery plan in order to deliver the delivery site d1 of the delivery site w1 and the delivery site w2 to meet the needs of the delivery site w3 within the remaining 60 minutes. Regarding the distribution base w4, because the shortage of the distribution base w4 is eliminated in the first half of 60 minutes, it is not included in the distribution problem in the second half of 60 minutes. [0120] Next, a description will be given of an objective function and a restriction set for a delivery problem that targets the last interval when the delivery restriction time is divided into N. The objective function, restriction, and the like in this case are the same as those explained using the first space-time network model (Figure 3) and the second space-time network model (Figure 8). In other words, the delivery plan generation unit 12a generates delivery plans that minimize the cost or travel time of delivery among the delivery plans that fulfill all the requirements until the last time of the last section and meets all needs. plan. [0121] Taking the advantages of the processing in the second half of the 60 minutes (last interval), firstly, as in the first half of the 60 minutes, by setting the delivery restriction time to 60 minutes, the number of parameters can be reduced and the amount of calculation can be reduced. This makes it possible to increase the speed of processing. Furthermore, it is possible to calculate as many distribution plans as possible in each section up to the last section, and the remaining requirements will be reduced, so the scale of the distribution problem that must be solved will be smaller. For example, in the examples shown in FIG. 20 and FIG. 21, it is not only that the required number of each required point is reduced, which meets the need at the distribution site w4, so the number of distribution sites is reduced. This can further reduce the scale of the distribution problem. Divide the problem of delivering more than 20 deliveries to 20 distribution bases within 120 minutes into 60-minute intervals. In the second 60-minute interval, for example, you can reduce the number of variables to 8000 and limit the number. Reduced to 12000. As described above, according to this embodiment, the reduction of the parameters of time division and the distribution plan generated in the time interval earlier can reduce the scale of the distribution problem in the subsequent interval, so that Speeding up the generation of delivery plans. In the third embodiment, since the area is not divided, compared with the first embodiment and the second embodiment, it is possible to generate a distribution plan while still ensuring the large-scale distribution of the distribution bases, and to produce a more optimized distribution. plan. [0122] Next, a flow of the generation process of the delivery plan according to this embodiment will be described. 22 is a flowchart showing an example of a delivery plan generation process according to the third embodiment of the present invention. The same processing as in FIGS. 13 and 18 will be briefly described. First, a delivery person who performs a delivery plan inputs initial conditions of the delivery plan to the delivery plan device 10B. The input / output unit 13 receives the input, and outputs the received information to the initial condition setting unit 11. The initial condition setting unit 11 acquires information on initial conditions input by the delivery person (step S11). Next, the time division unit 17 performs time division processing using the delivery restriction time included in the information of the initial conditions (step S122). The time division processing is as described using FIG. 20. For example, the time division unit 17 divides the delivery time limit of the initial conditions into two to three. Or, if the time required to complete the distribution of the necessary distribution bases is estimated by a rule of thumb, such as 75 minutes, the time division unit 17 can also use the time unit (based on user settings) ( For example, 75 minutes) to divide the original delivery limit time, and use the remaining time as the final interval. Alternatively, the time division unit 17 may be a time period shorter than the delivery restriction time given in the initial condition by a predetermined time as the first interval after division and the remaining time as the last interval. Next, the delivery plan generation unit 12a generates a delivery plan in chronological order for each divided section. First, the delivery plan generation unit 12a sets 1 to a counter variable n (step S123). Next, the delivery plan generation unit 12a sets a delivery problem for the n-th section (step S124). For example, if it is the first section, the delivery plan generation unit 12a includes the required number and supply amount of each delivery site included in the information of the initial conditions, the number of delivery means existing at the departure site, and the number of delivery staff. 1. The time of the first interval is used for the delivery limited time, which meets as many requirements as possible, and formulates the integer planning problem of the objective function and restriction conditions for the production of the cheapest delivery plan. [0123] Next, the distribution plan generation unit 12a generates a plurality of time-space network models exemplified in FIG. 3 or FIG. A collection of branch information that may satisfy the needs of each distribution base (step S132). Next, the delivery plan generation unit 12a calculates the total cost for each set of branch information generated (step S14). Next, the delivery plan generation unit 12a compares the calculated total cost and selects a set of branch information whose total cost is the smallest (step S15). As a result, a delivery plan for the nth (this time the first) interval will be generated. [0124] Next, the delivery plan generation unit 12a determines whether n is equal to N (step S16). When n is equal to N (step S16; Yes), the delivery plan is generated for all the segments after the division, and therefore the delivery plan generation process is terminated. When n is not equal to N (step S16; No), the delivery plan generation unit 12a adds 1 to n (step S17), and repeats the processing from step S124. [0125] Specifically, for example, when the value of n after adding 1 is 2, the delivery plan generating unit 12a is the result of each of the results after executing the delivery plan generated for the first interval in step S124. The number of required distribution points, the number of supply points, the number of distribution means existing at the starting point, the number of distribution personnel, and the time in the second interval are used for the time limit for distribution, which formalizes the integer planning problem. At this time, if n and N are equal, the delivery plan generation unit 12a formulates the objective function for generating delivery plans that meets all the requirements, and the integer plan problem of constraints (as in the first embodiment and the second embodiment). The same objective function and the like of the implementation form). When n is not equal to N, the delivery plan generation unit 12a formulates an objective function for generating a delivery plan that meets as many requirements as possible, and an integer plan problem with restrictions. The delivery plan generation unit 12a solves the integer plan problem and generates a delivery plan for the n-th interval. The delivery plan generation unit 12a repeats the processing from step S124 to step S17 for all sections until a delivery plan is generated (until n and N are equal). The entire distribution plan that is sequentially generated for each of the first to Nth (last) sections is a distribution plan that meets the requirements given in the initial conditions. [0126] In the flowchart of FIG. 22, the delivery restriction time initially given in the initial condition is divided into several sections, and for example, the delivery planning process may be configured as follows. 1. First, a section (first delivery restriction time) shorter than the delivery restriction time given in the initial condition is set, and as many delivery plans as possible within this interval can be produced cheaply. 2. Secondly, for the delivery items that cannot be delivered within the first delivery restriction time, a predetermined length interval (second delivery restriction time) that continues to the first delivery restriction time is set to produce as much as possible within the set interval. Delivery plan for multiple delivery items. 3. The total length of the interval from the start of delivery will not exceed the period of delivery limit time. Repeat steps 1. to 2. That is, the solution is found while extending the time (time expansion method). The length of the first section or extended section can be arbitrarily set according to the delivery status. 4. When the total time from the delivery start time exceeds the delivery limit time, the next interval will be used as the last one, and the last interval will be generated. The start time of the time is used as a reference, and the time when the delivery restriction time included in the initial conditions is used as the end time) is a delivery plan that meets all the required costs to the minimum. [0127] When the distribution plan generation processing of this embodiment is actually performed, for a distribution problem with 20 distribution bases and 20 levels of distribution items, a practically optimal time (within 10 minutes) can be used to calculate a quasi-optimal solution (with strict (Comparison of the optimal solution of., The difference between the values of the objective function is less than 10%). [0128] The method for generating a delivery plan according to this embodiment can also be used in the following scenarios. For example, when all vehicles must be delivered to a parking lot in need within 120 minutes, a delivery plan is first generated for the first 60 minutes. Once the delivery plan is completed, the vehicle delivery is actually started based on the delivery plan. While the vehicle is being delivered, the remaining 60-minute delivery plan is generated. In this way, by generating and processing a parallel delivery plan, for example, time can be effectively used at a site where a car sharing service is performed. [0129] The processes of the above-mentioned distribution planning devices 10, 10A, and 10B are stored in a computer-readable recording medium in the form of a program, and the program is read out and executed by the computer of the distribution planning system. The above processing. The computer-readable recording medium herein means a magnetic butterfly, an optical magnetic disk, a CD-ROM, a DVD-ROM, a semiconductor memory, and the like. This computer program can also be distributed to a computer through a communication line, and the computer that accepts this distribution executes the program. [0130] The above program may be a part for realizing the aforementioned functions. Furthermore, a combination of the aforementioned function and a program that has been recorded in a computer system can be used to implement the so-called differential file (differential program). The delivery plan devices 10, 10A, and 10B may be constituted by a single computer, or may be constituted by a plurality of computers that are communicably connected. [0131] In addition, the constituent elements of the above-described embodiments may be appropriately replaced with well-known constituent elements without departing from the spirit of the present invention. The technical scope of this invention is not limited to the embodiments described above, and various changes can be made without departing from the spirit of the invention. [0132] A delivery person is an example of a delivery subject, a delivery vehicle, a truck, and a bicycle are examples of a delivery means, and a car shared by a vehicle is an example of a delivery item. The first region division unit 14, the second region division unit 16, and the time division unit 17 are examples of the division unit, respectively. [Industrial Applicability] [0133] According to the above-mentioned distribution planning system, distribution planning method, and program, a practical time can be devised to minimize the cost or moving time relative to large-scale distribution problems. A personalized delivery plan.
[0134][0134]
10、10A、10B‧‧‧配送計畫裝置10, 10A, 10B ‧‧‧ Delivery plan device
11‧‧‧初期條件設定部11‧‧‧Initial condition setting section
12、12a‧‧‧配送計畫產生部12, 12a‧‧‧ Delivery plan generation department
13‧‧‧輸出入部13‧‧‧I / O Department
14‧‧‧第一區域分割部14‧‧‧ first area division
15‧‧‧記憶部15‧‧‧Memory Department
16‧‧‧第二區域分割部16‧‧‧Second Region Division
17‧‧‧時間分割部17‧‧‧Time Division
[0025] 圖1是表示本發明的第一實施形態的配送計畫系統的一例的機能方塊圖。 圖2是說明本發明的第一實施形態的配送計畫的一例的圖。 圖3是說明本發明的第一實施形態的配送計畫的第1時空網路模型的圖。 圖4是說明本發明的第一實施形態的配送計畫的第2時空網路模型的第一圖。 圖5是說明本發明的第一實施形態的配送計畫的第2時空網路模型的第二圖。 圖6是說明本發明的第一實施形態的配送計畫的第2時空網路模型的第三圖。 圖7是說明本發明的第一實施形態的配送計畫的第2時空網路模型的第四圖。 圖8是說明本發明的第一實施形態的配送計畫的第2時空網路模型的第五圖。 圖9是表示本發明的第一實施形態的配送問題的一例圖。 圖10是表示對於配送問題產生的配送計畫的一例圖。 圖11是說明本發明的第一實施形態的第一區域分割處理的第一圖。 圖12是說明本發明的第一實施形態的第一區域分割處理的第二圖。 圖13是表示本發明的第一實施形態的配送計畫的產生處理的一例的流程圖。 圖14是表示本發明的第二實施形態的配送計畫系統的一例的機能方塊圖。 圖15是說明本發明的第二實施形態的配送問題的第二區域分割處理的第一圖。 圖16是說明本發明的第二實施形態的配送問題的第二區域分割處理的第二圖。 圖17是說明本發明的第二實施形態的配送問題的第二區域分割處理的第三圖。 圖18是表示本發明的第二實施形態的配送計畫的產生處理的一例的流程圖。 圖19是表示本發明的第三實施形態的配送計畫系統的一例的機能方塊圖。 圖20是說明本發明的第三實施形態的配送問題的時間分割處理的第一圖。 圖21是說明本發明的第三實施形態的配送問題的時間分割處理的第二圖。 圖22是表示本發明的第三實施形態的配送計畫的產生處理的一例的流程圖。[0025] FIG. 1 is a functional block diagram showing an example of a delivery planning system according to a first embodiment of the present invention. 2 is a diagram illustrating an example of a delivery plan according to the first embodiment of the present invention. 3 is a diagram illustrating a first spatio-temporal network model of a delivery plan according to the first embodiment of the present invention. 4 is a first diagram illustrating a second spatio-temporal network model of a delivery plan according to the first embodiment of the present invention. 5 is a second diagram illustrating a second spatio-temporal network model of a delivery plan according to the first embodiment of the present invention. 6 is a third diagram illustrating a second spatiotemporal network model of a delivery plan according to the first embodiment of the present invention. 7 is a fourth diagram illustrating a second spatio-temporal network model of a delivery plan according to the first embodiment of the present invention. 8 is a fifth diagram illustrating a second spatio-temporal network model of a delivery plan according to the first embodiment of the present invention. 9 is a diagram showing an example of a delivery problem in the first embodiment of the present invention. FIG. 10 is a diagram showing an example of a delivery plan for a delivery problem. 11 is a first diagram illustrating a first region dividing process according to the first embodiment of the present invention. FIG. 12 is a second diagram illustrating a first region dividing process according to the first embodiment of the present invention. FIG. 13 is a flowchart showing an example of a delivery plan generation process according to the first embodiment of the present invention. 14 is a functional block diagram showing an example of a delivery planning system according to a second embodiment of the present invention. FIG. 15 is a first diagram illustrating a second region division process of a delivery problem according to a second embodiment of the present invention. FIG. 16 is a second diagram illustrating a second region division process of a delivery problem according to a second embodiment of the present invention. 17 is a third diagram illustrating a second region division process of a delivery problem according to a second embodiment of the present invention. FIG. 18 is a flowchart showing an example of a delivery plan generation process according to the second embodiment of the present invention. 19 is a functional block diagram showing an example of a delivery planning system according to a third embodiment of the present invention. FIG. 20 is a first diagram illustrating a time division process of a delivery problem according to a third embodiment of the present invention. FIG. 21 is a second diagram illustrating a time division process of a delivery problem according to a third embodiment of the present invention. FIG. 22 is a flowchart showing an example of a delivery plan generation process according to the third embodiment of the present invention.
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JP7544400B2 (en) | 2021-01-12 | 2024-09-03 | 日本電気株式会社 | Optimization device, optimization method, and optimization program |
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US20230065108A1 (en) * | 2020-03-05 | 2023-03-02 | Nippon Telegraph And Telephone Corporation | Optimization function generation apparatus, optimization function generation method, and program |
JP2021144351A (en) * | 2020-03-10 | 2021-09-24 | 富士通株式会社 | Information processor, path generation method and path generation program |
JP7354910B2 (en) * | 2020-04-08 | 2023-10-03 | 富士通株式会社 | Information processing device, information processing method, and information processing program |
CN115112137A (en) * | 2021-03-23 | 2022-09-27 | 广东博智林机器人有限公司 | Path planning method and device, electronic equipment and readable storage medium |
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JP2004238129A (en) * | 2003-02-05 | 2004-08-26 | Jfe Steel Kk | Delivery plan planning method and its device |
CN102117441A (en) * | 2010-11-29 | 2011-07-06 | 中山大学 | Intelligent logistics distribution and delivery based on discrete particle swarm optimization algorithm |
US20130159206A1 (en) * | 2011-12-14 | 2013-06-20 | International Business Machines Corporation | Dynamic vehicle routing in multi-stage distribution networks |
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US20160048802A1 (en) * | 2014-08-13 | 2016-02-18 | Tianyu Luwang | Transportation planning for a regional logistics network |
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